e 的数值计算

elim

王守恩需要交待这些计算是怎么来的，否则贴出来没有意义．

王守恩

elim 发表于 2019-9-25 20:19
王守恩需要交待这些计算是怎么来的，否则贴出来没有意义．

每个数+2
(n=01)1,
(n=02) 5/7,
(n=03)51/71,
(n=04)719/1001,
(n=05)12993/18089,
(n=06)286565/398959,
(n=07)7463683/10391023,
(n=08)224197055/312129649,
(n=09)7630163553/10622799089,
(n=10)290170412069/403978495031,
(n=11) 12194787470451/16977719590391,
(n=12)561250394052815/781379079653017,
(n=13)28074714490111201/39085931702241241,
(n=14)1516595832860057669/2111421691000680031,
(n=15)87990633020373456003/122501544009741683039,
(n=16)5456935843096014329855/7597207150294985028449,
(n=17)360245756277357319226433/501538173463478753560673,
(n=18)25222659875258108360180165/35115269349593807734275559,
(n=19)1866837076525377375972558643/2599031470043405251089952039,
(n=20)145638514628854693434219754319/202759569932735203392750534601,
(n=21)11944225036642610238981992412801/16628883765954330083456633789321,
(n=22)1027348991665893335245885567255205/1430286763442005122380663256416207,
(n=23)92473353474967042782368683045381251/
128742437593546415344343149711247951,
(n=24)8693522575638567914877902091833092799/
12103219420556805047490636736113723601,
(n=25)852057685766054622700816773682688475553/
1186244245652160441069426743288856160849,
(n=26)86918577470713210083398188817726057599205/
121009016275940921794129018452199442130199,
(n=27)9214221269581366323462908831452644793991283/
12828141969495389870618745382676429721961943,
(n=28)1013651258231421008791003369648608653396640335/
1411216625660768826689856121112859468857943929,
(n=29)115565457659651576368497847048772839132010989473/
160891523467297141632514216552248655879527569849,
(n=30)13637737655097117432491536955124843626230693398149/
18986610985766723481463367409286454253253111186111,

王守恩

elim 发表于 2019-9-25 20:19
王守恩需要交待这些计算是怎么来的，否则贴出来没有意义．

这样也可以，某分数与 e 的比值：
(n=1)1.10363832351432696478657131048438260233743339309530350352351040509238448723469941007144182,
(n=2)0.999999959468026530530889289320015005314737350187253024671152784634158571350521843091706027,
(n=3)1.000000000000000000000171343100241459084778589442919302204467696494245020609802580839316351,
(n=4)0.9999999999999999999999999999999999999999999998069438684375814504324865283602128339035146391,
(n=5)1.000000000000000000000000000000000000000000000000000000000000000000000000000000005125113718,
(n=6)1.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,
.......

每个分数+2
(n=1)1,
(n=2)719/1001,
(n=3)7630163553/10622799089,
(n=4)5456935843096014329855/7597207150294985028449,
(n=5)852057685766054622700816773682688475553/1186244245652160441069426743288856160849,
(n=6)71588586395976786019256125924228750933039268873311351531697615
/99666431141044244375058290024193125482270053170171493949175209,
.......

elim

谁能解释一下王守恩网友楼上的意思, 或者给出通项公式?

王守恩

elim 发表于 2019-9-26 21:47
谁能解释一下王守恩网友楼上的意思, 或者给出通项公式?

请 elim 老师批评！

10楼。
1，比值：(a(n)/b(n)+2)/e
2，分子：a(1)=1，a(2)=5，a(n)=a(n-2)+a(n-1)*(4n-2)
3，分母：b(1)=1，b(2)=7，b(n)=b(n-2)+b(n-1)*(4n-2)

13楼。
1，比值：(a(n^2)/b(n^2)+2)/e
2，分子：a(1)=1，a(2)=5，a(n)=a(n-2)+a(n-1)*(4n-2)
3，分母：b(1)=1，b(2)=7，b(n)=b(n-2)+b(n-1)*(4n-2)

王守恩

elim 发表于 2019-9-26 21:47
谁能解释一下王守恩网友楼上的意思, 或者给出通项公式?

再来一串。希望 elim 老师批评！

(n=1)1.10363832351432696478657131048438260233743339309530350352351040509238448723469941007144182,
(n=2)0.998529911751057730044993090438250925924344498514798407949842747464538345593299466255114030,
(n=3)1.00001031191673757842163503719946404812734575055114355014102116517760660110937552180182287,
(n=4)1.00000000010177402814823922287628903273691078135679452654015387120713578458026802094501015,
(n=5)0.9999999999999999997782691869685321330857913384640331428727130074317688097539324292349501629,
(n=6)1.000000000000000000000000000000000008912540460417671000873645684557501280645308547577848271,
(n=7)1.000000000000000000000000000000000000000000000000000000000000000030930946117291541745299560,
(n=8)1.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,
(n=9)1.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,
.......

(n=1)1,
(n=2)5/7,
(n=3)51/71,
(n=4)12993/18089,
(n=5)224197055/312129649,
(n=6)28074714490111201/39085931702241241,
(n=7)11944225036642610238981992412801/16628883765954330083456633789321,
(n=8)3652840521386397770775930229533596171296167783910904555909
/5085525453460186301777867529962655859538011626631066055111
...........

说明
1，比值：(a(k(n))/b(k(n))+2)/e
2，项序：k(1)=1，k(2)=2，k(n)=k(n-2)+k(n-1)
3，分子：a(1)=1，a(2)=5，a(n)=a(n-2)+a(n-1)*(4n-2)
4，分母：b(1)=1，b(2)=7，b(n)=b(n-2)+b(n-1)*(4n-2)

elim

王守恩 发表于 2019-9-26 09:04
再来一串。希望 elim 老师批评！

(n=1)1.1036383235143269647865713104843826023374333930953035035 ...

除法不满足结合律. (a(k(n))/b(k(n))+2)/e 意义不明.

王守恩

elim 发表于 2019-9-26 21:47
谁能解释一下王守恩网友楼上的意思, 或者给出通项公式?

比值都是大于 1 的。希望 elim 老师批评！

(n=01)1.10363832351432696478657131048438260233743339309530350352351040509238448723469941007144182,
(n=02)1.00001031191673757842163503719946404812734575055114355014102116517760660110937552180182287,
(n=03)1.00000000010177402814823922287628903273691078135679452654015387120713578458026802094501015,
(n=04)1.000000000000000226630045186603754982159052423645564507404632506055778858034006178003770382,
(n=05)1.000000000000000000000171343100241459084778589442919302204467696494245020609802580839316351,
(n=06)1.000000000000000000000000000055437771328934722450555302215376159144757288133683119162999968,
(n=07)1.000000000000000000000000000000000008912540460417671000873645684557501280645308547577848271,
(n=08)1.000000000000000000000000000000000000000000790376311925338213014575666240297337201905699284,
(n=09)1.000000000000000000000000000000000000000000000000041768772835312081356495853351207351392589,
(n=10)1.000000000000000000000000000000000000000000000000000000001395965675984140237311459755378330,
(n=11)1.000000000000000000000000000000000000000000000000000000000000000030930946117291541745299560,
(n=12)1.000000000000000000000000000000000000000000000000000000000000000000000000472134512138196526,
(n=13)1.000000000000000000000000000000000000000000000000000000000000000000000000000000005125113718,
(n=14)1.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041,
(n=15)1.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000,

.......

(n=01)1,
(n=02)51/71,
(n=03)12993/18089,
(n=04)7463683/10391023,
(n=05)7630163553/10622799089,
(n=06)12194787470451/16977719590391,
(n=07) 28074714490111201/39085931702241241,
(n=08)87990633020373456003/122501544009741683039,
(n=09)360245756277357319226433/501538173463478753560673,
(n=10)1866837076525377375972558643/2599031470043405251089952039,
(n=11)11944225036642610238981992412801/16628883765954330083456633789321,
(n=12)92473353474967042782368683045381251/128742437593546415344343149711247951,
(n=13)852057685766054622700816773682688475553/1186244245652160441069426743288856160849,
(n=14)9214221269581366323462908831452644793991283/12828141969495389870618745382676429721961943,
(n=15)115565457659651576368497847048772839132010989473/
160891523467297141632514216552248655879527569849,
...........

说明
1，比值：(a(k(n))/b(k(n))+2)/e
2，项序：k(1)=1，k(2)=3，k(n)=2n-1
3，分子：a(1)=1，a(2)=5，a(n)=a(n-2)+a(n-1)*(4n-2)
4，分母：b(1)=1，b(2)=7，b(n)=b(n-2)+b(n-1)*(4n-2)

任在深

王守恩 发表于 2019-9-27 19:15
比值都是大于 1 的。希望 elim 老师批评！

(n=01)1.1036383235143269647865713104843826023374333930 ...

对于e来说，都是臆想的胡编乱造！！

王守恩

图老师2 发表于 2019-9-25 17:20
我可以计算10万位

图老师 2！能把您的算法分享一下吗？
用 10 楼的算法，计算 10 万位需要 n = 67。