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Search: id:A001717
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| A001717 |
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Generalized Stirling numbers.
(Formerly M4984 N2143)
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+0
1
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| 1, 15, 179, 2070, 24574, 305956, 4028156, 56231712, 832391136, 13051234944, 216374987520, 3785626465920, 69751622298240, 1350747863435520, 27437426560500480, 583506719443584000, 12969079056388224000
(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+2, 2)*4^k*stirling1(n+2, k+2), k=0..n). - Borislav Crstici (bcrstici(AT)etv.utt.ro), Jan 26 2004
E.g.f.: (1-9*ln(1-x)+10*ln(1-x)^2)/(1-x)^6. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Mar 01 2004
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CROSSREFS
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Sequence in context: A009146 A012800 A016216 this_sequence A004992 A055084 A005461
Adjacent sequences: A001714 A001715 A001716 this_sequence A001718 A001719 A001720
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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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