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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
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
Sequence in context: A132891 A200544 A308448 * A306884 A219768 A038359
KEYWORD
nonn
AUTHOR
Christian G. Bower, Jun 09 2000
STATUS
approved