The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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