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About:
Bernoulli number
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Rational number sequence 𝐵ₖ such that (𝑚+1)∑𝑛ᵐ=(ᵐ⁺¹₀)𝐵₀𝑛ᵐ⁺¹−(ᵐ⁺¹₁)𝐵₁𝑛ᵐ+(ᵐ⁺¹₂)𝐵₂𝑛ᵐ¯¹−(ᵐ⁺¹₃)𝐵₃𝑛ᵐ¯²+⋯
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description
числа для нахождения суммы первых n натуральных чисел, возведённых в одну и ту же степень
(ru)
rational number sequence 𝐵ₖ such that (𝑚+1)∑𝑛ᵐ=(ᵐ⁺¹₀)𝐵₀𝑛ᵐ⁺¹−(ᵐ⁺¹₁)𝐵₁𝑛ᵐ+(ᵐ⁺¹₂)𝐵₂𝑛ᵐ¯¹−(ᵐ⁺¹₃)𝐵₃𝑛ᵐ¯²+⋯
(en)
Folge rationaler Zahlen
(de)
numeri che costituiscono una successione di numeri razionali
(it)
סדרת מספרים בעלת תכונות מתמטיות חשובות
(iw)
rationaalilukujono
(fi)
suite de nombres rationnels
(fr)
nieskończony ciąg liczb wymiernych, rozważany od XVII wieku w różnych kontekstach
(pl)
vico de racionaloj 𝐵ₖ tiaj ke (𝑚+1)∑𝑛ᵐ=(ᵐ⁺¹₀)𝐵₀𝑛ᵐ⁺¹−(ᵐ⁺¹₁)𝐵₁𝑛ᵐ+(ᵐ⁺¹₂)𝐵₂𝑛ᵐ¯¹−(ᵐ⁺¹₃)𝐵₃𝑛ᵐ¯²+⋯
(eo)
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wikiPageExternalLink
http://pweb.nju.edu.cn/zwsun
http://www.luschny.de/math/primes/bernincl.html
http://www.maecla.it/Matematica/sommapotenze/teorema_1B.htm%23teorema1b
https://web.archive.org/web/20011031073728/http:/pweb.nju.edu.cn/zwsun/
https://web.archive.org/web/20160304004018/http:/web.maths.unsw.edu.au/~davidharvey/papers/bernmm/
https://web.archive.org/web/20190510171712/https:/genealogy.math.ndsu.nodak.edu/
https://archive.org/details/sourcebookinmath00smit/page/90/mode/2up%7Clocation=
https://www.genealogy.math.ndsu.nodak.edu/
http://oeis.org/wiki/User:Peter_Luschny/ComputationAndAsymptoticsOfBernoulliNumbers
http://oeis.org/wiki/User:Peter_Luschny/TheLostBernoulliNumbers
http://www.mscs.dal.ca/~dilcher/bernoulli.html
http://go.helms-net.de/math/binomial/02_2_GeneralizedBernoulliRecursion.pdf
http://go.helms-net.de/math/binomial/04_3_SummingOfLikePowers.pdf
http://go.helms-net.de/math/pascal/bernoulli_en.pdf
http://www.luschny.de/math/primes/irregular.html
http://en.literateprograms.org
http://www.bernoulli.org
https://ghostarchive.org/archive/20221009/http:/go.helms-net.de/math/binomial/02_2_GeneralizedBernoulliRecursion.pdf
https://ghostarchive.org/archive/20221009/http:/go.helms-net.de/math/binomial/04_3_SummingOfLikePowers.pdf
https://ghostarchive.org/archive/20221009/http:/go.helms-net.de/math/pascal/bernoulli_en.pdf
https://books.google.com/books%3Fid=tTF0nQEACAAJ&pg=PA97
http://resolver.sub.uni-goettingen.de/purl%3FGDZPPN002158698
http://jeff560.tripod.com/calculus.html
http://www.cs.uwaterloo.ca/journals/JIS/vol3.html
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Bernoulli number
(en)
عدد برنولي
(ar)
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(ca)
Bernoulli-Zahl
(de)
Bernoulliho číslo
(cs)
Αριθμός Μπερνούλι
(el)
Número de Bernoulli
(es)
Bernoulliren zenbaki
(eu)
Nombre de Bernoulli
(fr)
Numeri di Bernoulli
(it)
ベルヌーイ数
(ja)
베르누이 수
(ko)
Bernoulligetal
(nl)
Números de Bernoulli
(pt)
Liczby Bernoulliego
(pl)
Числа Бернулли
(ru)
Bernoullital
(sv)
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(uk)
伯努利数
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