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A028515 Expansion of A007245^6. 10
1, 1488, 947304, 335950912, 72474624276, 9790124955552, 833107628914688, 45630592148400000, 1754954450906393538, 51062104386000089648, 1186840963302480101376, 22924552119951492244800, 378933532779364657975000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Seiichi Manyama)

FORMULA

a(n) ~ exp(4*Pi*sqrt(2*n)) / (2^(1/4)*n^(3/4)). - Vaclav Kotesovec, Jun 29 2017

(q*j(q))^2 where j(q) is the elliptic modular invariant. - Seiichi Manyama, Jul 15 2017

MATHEMATICA

CoefficientList[Series[(QPochhammer[x, x^2]^8 + 256*x/QPochhammer[x, x^2]^16)^6, {x, 0, 20}], x] (* Vaclav Kotesovec, Jun 29 2017 *)

CROSSREFS

Cf. A000521 (j(q)).

(q*j(q))^(k/24): A289397 (k=-1), A106205 (k=1), A289297 (k=2), A289298 (k=3), A289299 (k=4), A289300 (k=5), A289301 (k=6), A289302 (k=7), A007245 (k=8), A289303 (k=9), A289304 (k=10), A289305 (k=11), A161361 (k=12), A028512 (k=16), A028513 (k=32), A028514 (k=40), this sequence (k=48), A288846 (k=72).

Sequence in context: A317593 A257760 A237244 * A288727 A137705 A171617

Adjacent sequences:  A028512 A028513 A028514 * A028516 A028517 A028518

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 26 18:04 EDT 2019. Contains 323597 sequences. (Running on oeis4.)