OFFSET
0,6
LINKS
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 573
FORMULA
E.g.f.: (-1+x)/(-1+x^5+x)
Recurrence: {a(1)=0, a(0)=1, a(2)=0, a(4)=0, a(3)=0, (-n^5-15*n^4-274*n-120-85*n^3-225*n^2)*a(n) +(-5-n)*a(n+4) +a(n+5)=0}
Sum(-1/3381*(64+80*_alpha^4+100*_alpha^3+125*_alpha^2-689*_alpha)*_alpha^(-1-n), _alpha=RootOf(-1+_Z^5+_Z))*n!
a(n)=n!*A017899(n). - R. J. Mathar, Jun 03 2022
MAPLE
spec := [S, {S=Sequence(Prod(Z, Z, Z, Z, Z, Sequence(Z)))}, labeled]: seq(combstruct[count](spec, size=n), n=0..20);
MATHEMATICA
With[{nn=20}, CoefficientList[Series[(1-x)/(1-x-x^5), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 12 2018 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
encyclopedia(AT)pommard.inria.fr, Jan 25 2000
STATUS
approved