The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A072338 EULER transform of A002620 (with the initial 0,0,1 omitted). 0
 1, 2, 7, 18, 48, 114, 273, 614, 1370, 2952, 6275, 13034, 26725, 53854, 107238, 210670, 409446, 786936, 1498147, 2825084, 5282409, 9795620, 18027645, 32935112, 59760481, 107724038, 192984835, 343676216, 608589028, 1071869694, 1878068324, 3274291480, 5681336242 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..32. N. J. A. Sloane, Transforms FORMULA a(n) ~ exp(2*sqrt(2)*Pi*n^(3/4) / (3*15^(1/4)) + 2*Zeta(3) * sqrt(15*n) / Pi^2 + (7*5^(1/4)*Pi / (8*sqrt(2)*3^(3/4)) - 30*sqrt(2) * 15^(1/4) * Zeta(3)^2 /Pi^5) * n^(1/4) + 1200*Zeta(3)^3/Pi^8 - 71*Zeta(3)/(16*Pi^2) + 1/12) * Pi^(1/12) / (4*A * 2^(5/12) * 15^(13/48) * n^(37/48)), where A is the Glaisher-Kinkelin constant A074962. - Vaclav Kotesovec, May 31 2019 MATHEMATICA nmax = 40; CoefficientList[Series[Product[1/(1 - x^k)^Floor[(k + 2)^2/4], {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, May 31 2019 *) CROSSREFS Sequence in context: A247289 A161870 A362126 * A182197 A022726 A192873 Adjacent sequences: A072335 A072336 A072337 * A072339 A072340 A072341 KEYWORD nonn AUTHOR N. J. A. Sloane, Jul 16 2002 STATUS approved

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

Last modified May 18 15:09 EDT 2024. Contains 372647 sequences. (Running on oeis4.)