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
KEYWORD
nonn
AUTHOR
Christian G. Bower, Jun 09 2000
STATUS
approved