login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A241169 Steffensen's bracket function [n,3]. 1
0, 0, 0, 1, 14, 145, 1450, 15421, 180894, 2359225, 34072850, 540848341, 9363767974, 175619185105, 3547113529050, 76761061273261, 1771884886830254, 43456922321543785, 1128511554354422050, 30933862439582514181, 892562598747547111734, 27041608332832948251265, 858281473267724898703850 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

REFERENCES

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

LINKS

Table of n, a(n) for n=1..23.

J. F. Steffensen, On a class of polynomials and their application to actuarial problems, Skandinavisk Aktuarietidskrift, Vol. 11, pp. 75-97, 1928.

FORMULA

See A241168.

a(n) ~ (n-1)! / (6*(log(2))^n). - Vaclav Kotesovec, Apr 22 2014

MAPLE

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)];

MATHEMATICA

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

CROSSREFS

A diagonal of the triangular array in A241168.

Sequence in context: A276250 A099914 A016278 * A209347 A132934 A027473

Adjacent sequences:  A241166 A241167 A241168 * A241170 A241171 A241172

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Apr 22 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 2 08:31 EST 2021. Contains 349437 sequences. (Running on oeis4.)