A002291 Absolute value of Glaisher's beta'(2n+1).

0, 1, 4, 2, 8, 13, 28, 26, 56, 69, 48, 134, 80, 182, 84, 312, 280, 204, 332, 142, 816, 91, 196, 780, 224, 526, 244, 1198, 2216, 767, 508, 390, 400, 1167, 1424, 466, 2264, 1391, 1392, 3796, 1480, 11, 1768, 2274, 1320, 1508, 1984, 8450

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• J. W. L. Glaisher, On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares, Quart. J. Math. 38 (1907), 1-62 (see p. 56).
• Index entries for sequences mentioned by Glaisher

Crossrefs

For beta' itself, see A225872, and for beta, see A322032.

Programs

Mathematica

Abs[CoefficientList[Series[x*QPochhammer[x]^4*QPochhammer[x^4]^8, {x, 0, 60}], x]] (* Vaclav Kotesovec, Oct 08 2019 *)