cp's OEIS Frontend

A173110 Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence.

%I A173110 #3 Mar 30 2012 17:25:35
%S A173110 1,1,3,6,20,60,230,950,4420,22230,120914,702820,4343860,28393280,
%T A173110 195492054
%N A173110 Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence.
%C A173110 Triangle A173108 as an infinite lower triangular matrix * A173110 = A173110;
%C A173110 i.e. the sequence remains unchanged.
%C A173110 Contribution from _Gary W. Adamson_, Jul 08 2010: (Start)
%C A173110 Let B(x) = (1 + x + 2x^2 + 5x^3 + 15x^4 + ...), Bell numbers, A000110; and
%C A173110 A(x) = (1 + x + 3x^2 + 6x^3 + 20x^4 + ...). Then A(x) = B(x) * B(x^2) *
%C A173110 B(x^4) * B(x^8) * ...; and B(x) = A(x)/A(x^2). (End)
%F A173110 Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence
%Y A173110 A173108, A173111
%Y A173110 Cf. A000110 [From _Gary W. Adamson_, Jul 08 2010]
%K A173110 nonn
%O A173110 0,3
%A A173110 _Gary W. Adamson_, Feb 09 2010