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A307526 Expansion of 1/theta_4(1/theta_4(x) - 1), where theta_4() is the Jacobi theta function. 0
1, 4, 24, 144, 828, 4624, 25296, 136192, 723160, 3792564, 19672240, 101054512, 514643952, 2600665872, 13049557280, 65057605120, 322413671228, 1589046496704, 7791836790504, 38025622117168, 184749163375664, 893881787650016, 4308024769339344, 20685919693884672 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

Eric Weisstein's World of Mathematics, Jacobi Theta Functions

FORMULA

G.f.: g(g(x) - 1), where g(x) = g.f. of A015128.

MATHEMATICA

nmax = 23; CoefficientList[Series[1/EllipticTheta[4, 0, 1/EllipticTheta[4, 0, x] - 1], {x, 0, nmax}], x]

g[x_] := g[x] = Product[(1 + x^k)/(1 - x^k), {k, 1, 23}]; a[n_] := a[n] = SeriesCoefficient[g[g[x] - 1], {x, 0, n}]; Table[a[n], {n, 0, 23}]

CROSSREFS

Cf. A002448, A015128, A307050, A307127, A307128, A307186.

Sequence in context: A155119 A114169 A121102 * A067411 A045915 A052609

Adjacent sequences:  A307523 A307524 A307525 * A307527 A307528 A307529

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Apr 12 2019

STATUS

approved

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Last modified January 27 12:01 EST 2020. Contains 331295 sequences. (Running on oeis4.)