A001829 - OEIS

%I M4252 N1776 #34 Mar 31 2023 14:09:45

%S 1,6,46,450,5650,91866,1957066,55363650,2109599650,109773407466,

%T 7894945079386,792252362302770,111671194813402930,

%U 22202849561274787866,6241728810901739517226,2484011055161613143144610,1400187830319472451472442690

%N Related to graded partially ordered sets.

%C Corresponds to the numbers c(6,n) in the Klarner paper. - _Sean A. Irvine_, Sep 24 2015

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H John Cerkan, <a href="/A001829/b001829.txt">Table of n, a(n) for n = 0..112</a>

%H D. A. Klarner, <a href="/A000798/a000798_11.pdf">The number of graded partially ordered sets</a>, J. Combin. Theory, 6 (1969), 12-19. [Annotated scanned copy]

%H D. A. Klarner, <a href="http://dx.doi.org/10.1016/S0021-9800(69)80100-6">The number of graded partially ordered sets</a>, J. Combin. Theory, 6 (1969), 12-19.

%H <a href="/index/Pos#posets">Index entries for sequences related to posets</a>

%F a(n) = Sum_{p+q+r+s+t+u=n} (n!/p!q!r!s!t!u!) 2^(pq+qr+rs+st+tu) where (p,q,r,s,t,u) is any nonnegative composition of n. - _Sean A. Irvine_, Sep 24 2015

%Y Column k=6 of A361950.

%Y Cf. A000684, A001827, A001828, A001830, A047863.

%K nonn

%O 0,2

%A _N. J. A. Sloane_