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A024716
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a(n) = sum of S(i,j), 1<=j<=i<=n, where S(i,j) are Stirling numbers of the second kind.
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5
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1, 3, 8, 23, 75, 278, 1155, 5295, 26442, 142417, 820987, 5034584, 32679021, 223578343, 1606536888, 12086679035, 94951548839, 777028354998, 6609770560055, 58333928795427, 533203744952178, 5039919483399501, 49191925338483847, 495150794633289136
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Row sums of triangle A137649 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 01 2008
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..100
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FORMULA
| If offset is 0, a(n) = Sum_{i=0..n} binomial(n+1, i+1)*Bell(i) [cf. A000110].
Partial sums of Bell numbers. - Vladeta Jovovic (vladeta(AT)eunet.rs), Mar 16 2003
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MAPLE
| with (combinat):seq(sum(sum(stirling2(k, j), j=1..k), k=1..n), n=1..23); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 04 2007
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MATHEMATICA
| Accumulate[Table[BellB[n], {n, 40}]] (* From Vladimir Joseph Stephan Orlovsky, Jul 06 2011 *)
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CROSSREFS
| Equals A005001(n+1) - 1. First column of triangle A101908.
Cf. A137649.
Sequence in context: A148778 A099265 A099266 * A189359 A125782 A047143
Adjacent sequences: A024713 A024714 A024715 * A024717 A024718 A024719
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KEYWORD
| nonn,easy,nice
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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