id:A134097 - OEIS Search Results

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a(n) = 2^[n(n+1) - A000120(n)] * [x^n] 1/(1-x)^(1/2^n) for n>=0, where A000120(n) = number of 1's in binary expansion of n.

+0
3

1, 1, 5, 51, 9163, 1789359, 2966784613, 10246481110899, 1164644624885859315, 67519816893223600328475, 31778915061906077887063371935, 30252957250679839624103772879830589 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`[x^n] 1/(1-x)^(1/2^n) denotes the coefficient of x^n in the (2^n)-root of 1/(1-x).`
	PROGRAM	`(PARI) {a(n)=polcoeff(1/(1-x+xO(x^n))^(1/2^n), n)2^(n*(n+1)-subst(Pol(binary(n)), x, 1))}`
	CROSSREFS	`Cf. A000120; A134098 (variant); A134096.` `Sequence in context: A022516 A003515 A022501 this_sequence A067282 A045539 A081075` `Adjacent sequences: A134094 A134095 A134096 this_sequence A134098 A134099 A134100`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Oct 26 2007`

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Last modified December 4 21:35 EST 2008. Contains 151309 sequences.

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