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%I #9 Dec 09 2017 11:08:59
%S 0,1,5,16,54,154,425,1098,2743,6570,15345,34839,77489,168882,362054,
%T 764097,1591252,3272640,6657037,13403600,26740202,52892435,103808566,
%U 202263470,391464293,752923563,1439745067,2738144031,5181039986
%N Sign twisted convoluted convolved Fibonacci numbers H_j^(6).
%H P. Moree, <a href="http://arXiv.org/abs/math.CO/0311205">Convoluted convolved Fibonacci numbers</a>
%F G.f.: (z/6)[1/(1-z-z^2)^6+1/(1-z^2-z^4)^3-1/(1-z^3-z^6)^2-1/(1-z^6-z^12)].
%p with(numtheory): f := z->-1/(1-z-z^2): m := proc(r,j) d := divisors(r): W := (1/r)*z*sum(mobius(d[i])*f(z^d[i])^(r/d[i]),i=1..nops(d)): Wser := simplify(series(W,z=0,80)): coeff(Wser,z^j) end: seq(m(6,j),j=1..39);
%t terms = 29; r = 6; f[z_] := -1/(1 - z - z^2);
%t W = (z/r)*Sum[MoebiusMu[d]*f[z^d]^(r/d), {d, Divisors[r]}]+O[z]^(terms+1);
%t CoefficientList[W, z] // Rest (* _Jean-François Alcover_, Dec 09 2017, after Maple *)
%K nonn
%O 1,3
%A _N. J. A. Sloane_, Dec 05 2003
%E Edited by _Emeric Deutsch_, Mar 06 2004
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