OFFSET
0,2
COMMENTS
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..590
Index entries for linear recurrences with constant coefficients, signature (47,47,47,47,-1128).
FORMULA
G.f.: (t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(1128*t^5 - 47*t^4 - 47*t^3 - 47*t^2 - 47*t + 1).
a(n) = 47*a(n-1)+47*a(n-2)+47*a(n-3)+47*a(n-4)-1128*a(n-5). - Wesley Ivan Hurt, May 11 2021
MAPLE
seq(coeff(series((1+t)*(1-t^5)/(1-48*t+1175*t^5-1128*t^6), t, n+1), t, n), n = 0 .. 20); # G. C. Greubel, Aug 09 2019
MATHEMATICA
CoefficientList[Series[(1+t)*(1-t^5)/(1-48*t+1175*t^5-1128*t^6), {t, 0, 20}], t] (* G. C. Greubel, Aug 05 2017 *)
coxG[{5, 1128, -47}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Apr 10 2019 *)
PROG
(PARI) my(t='t+O('t^20)); Vec((1+t)*(1-t^5)/(1-48*t+1175*t^5-1128*t^6)) \\ G. C. Greubel, Aug 05 2017
(Magma) R<t>:=PowerSeriesRing(Integers(), 20); Coefficients(R!( (1+t)*(1-t^5)/(1-48*t+1175*t^5-1128*t^6) )); // G. C. Greubel, Aug 09 2019
(Sage)
def A163835_list(prec):
P.<t> = PowerSeriesRing(ZZ, prec)
return P((1+t)*(1-t^5)/(1-48*t+1175*t^5-1128*t^6)).list()
A163835_list(20) # G. C. Greubel, Aug 09 2019
(GAP) a:=[49, 2352, 112896, 5419008, 260111208];; for n in [6..20] do a[n]:=47*(a[n-1]+a[n-2]+a[n-3]+a[n-4]) -1128*a[n-5]; od; Concatenation([1], a); # G. C. Greubel, Aug 09 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved