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A035282 Expansion of zeta function of icosian ring. 4
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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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)).

Nonzero terms of A078473. - Michel Marcus, Mar 03 2014

LINKS

Table of n, a(n) for n=1..57.

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, arXiv:math/9904028 [math.MG].

CROSSREFS

Cf. A031363, A078472, A078473.

Sequence in context: A056050 A274554 A035111 * A075156 A075904 A018834

Adjacent sequences:  A035279 A035280 A035281 * A035283 A035284 A035285

KEYWORD

easy,nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 27 04:10 EDT 2021. Contains 347673 sequences. (Running on oeis4.)