A152551 - OEIS

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A152551

a(n) = (2*n+1)^[(n-1)/2].

1, 1, 1, 7, 9, 121, 169, 3375, 4913, 130321, 194481, 6436343, 9765625, 387420489, 594823321, 27512614111, 42618442977, 2251875390625, 3512479453921, 208728361158759, 327381934393961, 21611482313284249, 34050628916015625 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,4`
	COMMENTS	`Compare to row sums of triangle A152550: (2n+1)^(n-1).` `Triangle A152550 lists coefficients in a q-analogue of the function [LambertW(-2x)/(-2x)]^(1/2).`
	FORMULA	`a(n) = Sum_{k=0..n(n-1)/2} A152550(n,k)*(-1)^k.`
	MATHEMATICA	`Table[(2n+1)^Floor[(n-1)/2], {n, 0, 30}] (* From Harvey P. Dale, Nov 21 2011 *)`
	PROG	`(PARI) a(n)=(2*n+1)^((n-1)\2)`
	CROSSREFS	`Cf. A152550, A152552 (q=2), A152553 (q=3).` `Sequence in context: A137058 A116237 A123746 * A012252 A027723 A046265` `Adjacent sequences: A152548 A152549 A152550 * A152552 A152553 A152554`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 07 2008`

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Last modified February 14 17:59 EST 2012. Contains 205657 sequences.