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A241169
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Steffensen's bracket function [n,3].
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1
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0, 0, 0, 1, 14, 145, 1450, 15421, 180894, 2359225, 34072850, 540848341, 9363767974, 175619185105, 3547113529050, 76761061273261, 1771884886830254, 43456922321543785, 1128511554354422050, 30933862439582514181, 892562598747547111734, 27041608332832948251265, 858281473267724898703850
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OFFSET
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1,5
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REFERENCES
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J. F. Steffensen, On a class of polynomials and their application to actuarial problems, Skandinavisk Aktuarietidskrift, 11 (1928), 75-97.
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LINKS
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FORMULA
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MAPLE
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with(combinat);
T:=proc(n, k) add(stirling2(n, s+1)*s!/k!, s=k..n-1); end;
[seq(T(n, 3), n=1..16)];
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MATHEMATICA
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Flatten[{0, 0, 0, Table[Sum[StirlingS2[n, s+1]*s!/3!, {s, 3, n-1}], {n, 4, 20}]}] (* Vaclav Kotesovec, Apr 22 2014 *)
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CROSSREFS
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A diagonal of the triangular array in A241168.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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