A089114 Sign twisted convoluted convolved Fibonacci numbers H_7^(r).

13, 37, 77, 146, 259, 425, 654, 967, 1396, 1959, 2665, 3555, 4683, 6068, 7728, 9729, 12141, 14994, 18319, 22198, 26732, 31966, 37930, 44740, 52533, 61355, 71251, 82376, 94891, 108859, 124344, 141525, 160608, 181677, 204795, 230189, 258115

Offset

1,1

Links

Table of n, a(n) for n=1..37.

P. Moree, Convoluted convolved Fibonacci numbers

Maple

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((-1)^r*m(r, 7), r=1..60);

Mathematica

f[z_] := -1/(1 - z - z^2);
m[r_, j_] := (W = (1/r)*z*Sum[MoebiusMu[d]*f[z^d]^(r/d), {d, Divisors[r]}]; SeriesCoefficient[W, {z, 0, j}]);
Table[(-1)^r*m[r, 7], {r, 1, 40}] (* Jean-François Alcover, Dec 07 2017, from Maple *)

Crossrefs

Sequence in context: A155234 A222964 A296312 * A163675 A152610 A155264

Adjacent sequences: A089111 A089112 A089113 * A089115 A089116 A089117

Keyword

nonn

Author

N. J. A. Sloane, Dec 05 2003

Extensions

Edited by Emeric Deutsch, Mar 06 2004

Status

approved