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 A173110 Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence. 4
 1, 1, 3, 6, 20, 60, 230, 950, 4420, 22230, 120914, 702820, 4343860, 28393280, 195492054 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 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) LINKS FORMULA Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence CROSSREFS 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 KEYWORD nonn AUTHOR Gary W. Adamson, Feb 09 2010 STATUS approved

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Last modified April 21 19:16 EDT 2021. Contains 343156 sequences. (Running on oeis4.)