id:A035282 - OEIS Search Results

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Expansion of zeta function of icosian ring.

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1, 5, 6, 10, 24, 21, 40, 30, 31, 60, 64, 50, 84, 120, 60, 50, 144, 120, 124, 85, 144, 200, 160, 126, 91, 180, 240, 240, 155, 204, 220, 300, 410, 320, 156, 264, 280, 210, 360, 300, 304, 384, 420, 170, 400, 504, 360, 300, 364, 384, 250, 400, 504, 960, 424, 720, 310 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Let zetaI(s) be the zeta function of icosian ring: zetaI(s)=zetaQ(tau)(2s)*zetaQ(tau)(2s-1) where zetaQ(tau)(s) is defined in A035187; then zetaI(s) = sum(n>=1,a(n)/A031363(n)^(2s))`
	LINKS	`M. Baake and R. V. Moody, Similarity submodules and root systems in four dimensions, Canad. J. Math. (1999), 51 1258-1276.` `M. Baake and R. V. Moody, Similarity submodules and root systems in four dimensions, Canad. J. Math. (1999), 51 1258-1276.`
	CROSSREFS	`Cf. A031363, A078472, A078473.` `Sequence in context: A011985 A056050 A035111 this_sequence A075156 A075904 A018834` `Adjacent sequences: A035279 A035280 A035281 this_sequence A035283 A035284 A035285`
	KEYWORD	`easy,nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.

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