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 A289517 Expansion of 1/j^10 where j is the elliptic modular invariant (A000521). 7
 1, -7440, 28475640, -74704723520, 151031520191580, -250835888956579488, 356272260416109602240, -444864441668603737630080, 498241081014831011965132710, -508187364230945384698554319920, 477695553082956543572082694287840 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,2 LINKS Seiichi Manyama, Table of n, a(n) for n = 10..413 FORMULA a(n) ~ (-1)^n * 2^(3*k) * Pi^(12*k) * exp(Pi*sqrt(3)*n) * n^(3*k - 1) / (3^(3*k) * Gamma(1/3)^(18*k) * Gamma(3*k)), set k = 10. - Vaclav Kotesovec, Mar 07 2018 MATHEMATICA a[n_] := SeriesCoefficient[1/(1728*KleinInvariantJ[-Log[q]*I/(2*Pi)])^10, {q, 0, n}]; Table[a[n], {n, 10, 20}] (* Jean-François Alcover, Nov 02 2017 *) CROSSREFS Cf. A000521 (j). 1/j^k: A066395 (k=1), A288727 (k=2), A289454 (k=3), A289455 (k=4), A289512 (k=5), A289513 (k=6), A289514 (k=7), A289515 (k=8), A289516 (k=9), this sequence (k=10). Sequence in context: A360355 A324897 A051259 * A178281 A250971 A250239 Adjacent sequences: A289514 A289515 A289516 * A289518 A289519 A289520 KEYWORD sign AUTHOR Seiichi Manyama, Jul 07 2017 STATUS approved

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Last modified June 2 17:31 EDT 2023. Contains 363100 sequences. (Running on oeis4.)