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A241169 Steffensen's bracket function [n,3]. 1

%I #11 Jul 27 2015 21:08:06

%S 0,0,0,1,14,145,1450,15421,180894,2359225,34072850,540848341,

%T 9363767974,175619185105,3547113529050,76761061273261,

%U 1771884886830254,43456922321543785,1128511554354422050,30933862439582514181,892562598747547111734,27041608332832948251265,858281473267724898703850

%N Steffensen's bracket function [n,3].

%D J. F. Steffensen, On a class of polynomials and their application to actuarial problems, Skandinavisk Aktuarietidskrift, 11 (1928), 75-97.

%H J. F. Steffensen, <a href="http://dx.doi.org/10.1080/03461238.1928.10416863">On a class of polynomials and their application to actuarial problems</a>, Skandinavisk Aktuarietidskrift, Vol. 11, pp. 75-97, 1928.

%F See A241168.

%F a(n) ~ (n-1)! / (6*(log(2))^n). - _Vaclav Kotesovec_, Apr 22 2014

%p with(combinat);

%p T:=proc(n,k) add(stirling2(n,s+1)*s!/k!,s=k..n-1); end;

%p [seq(T(n,3),n=1..16)];

%t Flatten[{0,0,0,Table[Sum[StirlingS2[n, s+1]*s!/3!, {s,3,n-1}],{n,4,20}]}] (* _Vaclav Kotesovec_, Apr 22 2014 *)

%Y A diagonal of the triangular array in A241168.

%K nonn

%O 1,5

%A _N. J. A. Sloane_, Apr 22 2014

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Last modified April 25 09:13 EDT 2024. Contains 371967 sequences. (Running on oeis4.)