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Search: id:A001719
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| A001719 |
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Generalized Stirling numbers.
(Formerly M5212 N2266)
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+0
4
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| 1, 30, 625, 11515, 203889, 3602088, 64720340, 1194928020, 22800117076, 450996059800, 9262414989464, 197632289814960, 4381123888865424, 100869322905986496, 2410630110159777216, 59757230054773959552
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres relies aux nombres de Stirling. Univ. Beograd. Publ. Elektrotehn. Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp.
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FORMULA
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E.g.f.: (ln(1-x)/(1-x))^4/24. - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 05 2003
a(n)=sum((-1)^(n+k)*binomial(k+4, 4)*4^k*stirling1(n+4, k+4), k=0..n). - Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004
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CROSSREFS
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Cf. A000254, A001706, A001713.
Sequence in context: A124099 A028258 A075911 this_sequence A004359 A001777 A136661
Adjacent sequences: A001716 A001717 A001718 this_sequence A001720 A001721 A001722
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KEYWORD
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nonn
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AUTHOR
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njas
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EXTENSIONS
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More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), May 05 2003
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