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