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A024427
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S(n,1) + S(n-1,2) + +S(n-2,3) + ... + S(n+1-k,k), where k=[ (n+1)/2 ] and S(i,j) are Stirling numbers of second kind.
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5
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1, 1, 2, 4, 9, 22, 58, 164, 495, 1587, 5379, 19195, 71872, 281571, 1151338, 4902687, 21696505, 99598840, 473466698, 2327173489, 11810472444, 61808852380, 333170844940, 1847741027555
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| G.f.: sum{k>=0, x^(2k)/prod[l=1..k, 1-lx]}. - R. Stephan, Apr 18 2004
a(n)=sum(stirling2(n-1-i,i), i=0..n-2), n>=3 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
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MAPLE
| with(combinat):seq(sum(stirling2(n-1-i, i), i=0..n-2), n=3..26); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 31 2008
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CROSSREFS
| Sequence in context: A059019 A121953 * A171367 A092920 A177377 A035053
Adjacent sequences: A024424 A024425 A024426 * A024428 A024429 A024430
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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