OFFSET
0,2
COMMENTS
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..655
Index entries for linear recurrences with constant coefficients, signature (32,32,32,32,32,32,-528).
FORMULA
G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(528*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 - 32*t^2 - 32*t + 1).
MAPLE
seq(coeff(series((1+t)*(1-t^7)/(1-33*t+560*t^7-528*t^8), t, n+1), t, n), n = 0 .. 20); # G. C. Greubel, Sep 15 2019
MATHEMATICA
CoefficientList[Series[(1+t)*(1-t^7)/(1-33*t+560*t^7-528*t^8), {t, 0, 20}], t] (* G. C. Greubel, Sep 15 2019 *)
coxG[{7, 528, -32}] (* The coxG program is at A169452 *) (* G. C. Greubel, Sep 15 2019 *)
PROG
(PARI) my(t='t+O('t^20)); Vec((1+t)*(1-t^7)/(1-33*t+560*t^7-528*t^8)) \\ G. C. Greubel, Sep 15 2019
(Magma) R<t>:=PowerSeriesRing(Integers(), 20); Coefficients(R!( (1+t)*(1-t^7)/(1-33*t+560*t^7-528*t^8) )); // G. C. Greubel, Sep 15 2019
(Sage)
def A164670_list(prec):
P.<t> = PowerSeriesRing(ZZ, prec)
return P((1+t)*(1-t^7)/(1-33*t+560*t^7-528*t^8)).list()
A164670_list(20) # G. C. Greubel, Sep 15 2019
(GAP) a:=[34, 1122, 37026, 1221858, 40321314, 1330603362, 43909910385];; for n in [8..20] do a[n]:=32*(a[n-1] +a[n-2]+a[n-3]+a[n-4]+a[n-5]+a[n-6]) -528*a[n-7]; od; Concatenation([1], a); # G. C. Greubel, Sep 15 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
John Cannon and N. J. A. Sloane, Dec 03 2009
STATUS
approved