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0,3
Triangle A173108 as an infinite lower triangular matrix * A173110 = A173110;
i.e. the sequence remains unchanged.
Contribution from Gary W. Adamson, Jul 08 2010: (Start)
Let B(x) = (1 + x + 2x^2 + 5x^3 + 15x^4 + ...), Bell numbers, A000110; and
A(x) = (1 + x + 3x^2 + 6x^3 + 20x^4 + ...). Then A(x) = B(x) * B(x^2) *
B(x^4) * B(x^8) * ...; and B(x) = A(x)/A(x^2). (End)
Table of n, a(n) for n=0..14.
Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence
A173108, A173111
Cf. A000110 [From Gary W. Adamson, Jul 08 2010]
Sequence in context: A148602 A148603 A185172 * A090371 A288817 A168594
Adjacent sequences: A173107 A173108 A173109 * A173111 A173112 A173113
nonn
Gary W. Adamson, Feb 09 2010
approved