id:A110152 - OEIS Search Results

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G.f.: A(x) = Product_{n>=1} 1/(1 - 2^n*x^n)^(2/2^n).

+0
5

1, 2, 6, 14, 36, 78, 192, 406, 942, 2018, 4512, 9450, 21178, 43950, 95532, 200398, 431356, 892518, 1917572, 3950614, 8410230, 17398466, 36648980, 75326754, 159199004, 326471706, 683028924, 1404145162, 2930071798, 5993625942 (list; graph; listen)

	OFFSET	`0,2`
	EXAMPLE	`A(x) = 1 + 2x + 6x^2 + 14x^3 + 36x^4 + 78x^5 +... =` `1/[(1-2x)(1-4x^2)^(1/2)(1-8x^3)^(1/4)(1-16x^4)^(1/8)*...]`
	PROGRAM	`(PARI) a(n)=polcoeff(prod(k=1, n, 1/(1-2^kx^k+xO(x^n))^(2/2^k)), n)`
	CROSSREFS	`Cf. A110153, A110154, A110155, A110156.` `Sequence in context: A099425 A105635 A025257 this_sequence A017922 A077937 A077981` `Adjacent sequences: A110149 A110150 A110151 this_sequence A110153 A110154 A110155`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jul 14 2005`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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