id:A029817 - OEIS Search Results

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Average theta series of odd unimodular lattices of dimension 16 (multiplied by 17).

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17, 32, 4064, 70016, 528352, 2500032, 8892032, 26353408, 67637216, 153125024, 317504064, 623589504, 1156034176, 2007952576, 3346882816, 5470070016, 8657571808, 13130837568, 19446878048, 28603895680 (list; graph; listen)

	OFFSET	`0,1`
	LINKS	`H. H. Chan and C. Krattenthaler, Recent progress in the study of representations of integers as sums of squares`
	FORMULA	`G.f.: 17 + 32 * Sum[k=1..inf, k^7*q^k/(1-(-q)^k)].`
	PROGRAM	`(PARI) a(n)=if(n<1, 17(n==0), 32sumdiv(n, d, d^7-2if(d%4==2, (d/2)^7))) / Michael Somos, Jul 16 2004 */`
	CROSSREFS	`Cf. A013955.` `Sequence in context: A038354 A043127 A043907 this_sequence A085255 A138393 A044062` `Adjacent sequences: A029814 A029815 A029816 this_sequence A029818 A029819 A029820`
	KEYWORD	`nonn`
	AUTHOR	`njas`

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Last modified July 4 13:19 EDT 2008. Contains 140839 sequences.

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