This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A089092 Convoluted convolved Fibonacci numbers G_j^(5). 1
 0, 1, 4, 13, 38, 102, 259, 626, 1457, 3287, 7224, 15529, 32746, 67907, 138767, 279895, 558020, 1100930, 2151610, 4169060, 8015125, 15299090, 29010460, 54676270, 102469595, 191037405, 354426478, 654575187, 1203777114, 2204962989 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS P. Moree, Convoluted convolved Fibonacci numbers FORMULA G.f.: (z/5)[1/(1-z-z^2)^5-1/(1-z^5-z^10)]. 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(m(5, j), j=1..40); MATHEMATICA f[z_] := 1/(1 - z - z^2); m[r_] := (z/r)*Sum[MoebiusMu[d]*f[z^d]^(r/d), {d, Divisors[r]}]; CoefficientList[m[5] + O[z]^31, z] // Rest (* Jean-François Alcover, Nov 28 2017, from Maple *) CROSSREFS Sequence in context: A047094 A145128 A277974 * A181527 A049611 A084851 Adjacent sequences:  A089089 A089090 A089091 * A089093 A089094 A089095 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 05 2003 EXTENSIONS Edited by Emeric Deutsch, Mar 06 2004 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 June 20 01:36 EDT 2019. Contains 324223 sequences. (Running on oeis4.)