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!)
 A055890 CIK transform of partition numbers A000041. 3
 1, 1, 3, 6, 14, 28, 68, 148, 358, 845, 2061, 5018, 12458, 30922, 77557, 195154, 493809, 1253614, 3195210, 8166758, 20935826, 53799072, 138571332, 357647566, 924846881, 2395702829, 6215779536, 16150985916, 42024260088, 109485000778 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS C. G. Bower, Transforms (2) P. Flajolet and M. Soria, The Cycle Construction. In SIAM J. Discr. Math., vol. 4 (1), 1991, pp. 58-60. P. Flajolet and M. Soria, The Cycle Construction. [pdf file] MATHEMATICA nmax = 30; f[x_] = 1/Product[1 - x^n, {n, 1, nmax}] - 1; gf = 1+Sum[(EulerPhi[n]/n)*Log[1/(1 - f[x^n])] + O[x]^nmax, {n, 1, nmax}]; CoefficientList[gf, x] (* Jean-François Alcover, Jul 29 2018, from PARI *) PROG (PARI) N = 66;  x = 'x + O('x^N); f(x) = 1 / prod(n=1, N, 1-x^n ) - 1;  \\ A055890 gf = 1 + sum(n=1, N, eulerphi(n)/n*log(1/(1-f(x^n)))  ); v = Vec(gf) /* Joerg Arndt, Jan 21 2013 */ CROSSREFS Cf. A055889, A000142. Sequence in context: A132891 A200544 A308448 * A306884 A219768 A038359 Adjacent sequences:  A055887 A055888 A055889 * A055891 A055892 A055893 KEYWORD nonn AUTHOR Christian G. Bower, Jun 09 2000 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 May 9 08:25 EDT 2021. Contains 343699 sequences. (Running on oeis4.)