A008450 - OEIS

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A008450

Theta series of A_10 lattice.

1, 110, 1980, 10230, 30140, 79992, 155100, 302280, 487080, 839630, 1188660, 1845360, 2494470, 3610200, 4548060, 6490374, 7786790, 10545480, 12579600, 16461720, 19071162, 24859560, 27742440, 35347950, 39926040, 49393014, 54115380, 67987150

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.

LINKS

Table of n, a(n) for n=0..27.

MATHEMATICA

terms = 23; f[q_] = LatticeData["A10", "ThetaSeriesFunction"][-I Log[q]/Pi]; s = Normal[Series[f[q], {q, 0, 2 terms}]]; Partition[ CoefficientList[s, q] , 2][[All, 1]][[1 ;; terms]] // Round (* Jean-François Alcover, Jul 07 2017 *)

CROSSREFS

Sequence in context: A358256 A200877 A205348 * A163729 A251020 A245876

Adjacent sequences: A008447 A008448 A008449 * A008451 A008452 A008453

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Jun 12 2019

STATUS

approved