cp's OEIS Frontend

A186433 Matrix inverse of A186432.

%I A186433 #5 Mar 30 2012 18:40:13
%S A186433 1,-1,1,11,-12,1,-301,330,-30,1,15371,-16856,1540,-56,1,-1261501,
%T A186433 1383390,-126420,4620,-90,1,151846331,-166518132,15217290,-556248,
%U A186433 10890,-132,1,-25201039501,27636032242,-2525525002,92318226,-1807806,22022,-182,1
%N A186433 Matrix inverse of A186432.
%F A186433 GENERATING FUNCTION
%F A186433 Conjectural e.g.f.:
%F A186433 ... 1/2+1/2{(2*cosh(sqrt(u)*z)-1)/(2*cosh(z)-1)}
%F A186433 = sum {n = 0..inf} R(n,u)*z^(2*n)/(2*n)!
%F A186433 = 1+(u-1)*z^2/2!+(u^2-12*u+11)*z^4/4!+....
%F A186433 RELATIONS WITH OTHER SEQUENCES
%F A186433 Column 0: Signed version of Glaisher's H' numbers A002114.
%e A186433 Triangle begins
%e A186433 n/k.|.........0...........1.........2........3.......4......5.....6
%e A186433 ===================================================================
%e A186433 .0..|.........1
%e A186433 .1..|........-1...........1
%e A186433 .2..|........11.........-12.........1
%e A186433 .3..|......-301.........330.......-30........1
%e A186433 .4..|.....15371......-16856......1540......-56.......1
%e A186433 .5..|..-1261501.....1383390...-126420.....4620.....-90......1
%e A186433 .6..|.151846331..-166518132..15217290..-556248...10890...-132.....1
%e A186433 ..
%Y A186433 A002114, A186432 (inverse).
%K A186433 sign,easy,tabl
%O A186433 0,4
%A A186433 _Peter Bala_, Feb 22 2011