A002291 Absolute value of Glaisher's beta'(2n+1). (Formerly M3205 N1297)

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

0,3

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

Table of n, a(n) for n=0..47.

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

Mathematica

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

Crossrefs

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

Sequence in context: A134042 A051239 A064821 * A225872 A231777 A288181

Adjacent sequences: A002288 A002289 A002290 * A002292 A002293 A002294

Keyword

nonn

Author

N. J. A. Sloane

Status

approved