A173110 - OEIS

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A173110

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

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	`Table of n, a(n) for n=0..14.`
	FORMULA	`Given triangle A173108 = M, then A173110 = Lim_{n->inf.} M^n; the left-shifted vector considered as a sequence`
	CROSSREFS	`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`
	KEYWORD	`nonn`
	AUTHOR	`Gary W. Adamson, Feb 09 2010`
	STATUS	`approved`

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