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Search: id:A001718
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| A001718 |
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Generalized Stirling numbers.
(Formerly M5127 N2222)
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+0
1
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| 1, 22, 355, 5265, 77224, 1155420, 17893196, 288843260, 4876196776, 86194186584, 1595481972864, 30908820004608, 626110382381184, 13246845128678016, 292374329134060800, 6723367631258860800, 160883166944083161600
(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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a(n)=sum((-1)^(n+k)*binomial(k+3, 3)*4^k*stirling1(n+3, k+3), k=0..n). - Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004
E.g.f.: (1-15*ln(1-x)+37*ln(1-x)^2-20*ln(1-x)^3)/(1-x)^7. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 01 2004
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CROSSREFS
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Sequence in context: A054940 A016265 A016263 this_sequence A081127 A016196 A132167
Adjacent sequences: A001715 A001716 A001717 this_sequence A001719 A001720 A001721
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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 Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004
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