OFFSET
0,3
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1).
FORMULA
G.f.: (1+x^7)/((1-x^2)^2*(1-x^12)).
a(n)= +a(n-1) +a(n-2) -a(n-3) +a(n-12) -a(n-13) -a(n-14) +a(n-15). - R. J. Mathar, Dec 18 2014
MAPLE
seq(coeff(series((1+x^7)/((1-x^2)^2*(1-x^12)), x, n+1), x, n), n = 0 .. 70); # modified by G. C. Greubel, Jul 30 2019
MATHEMATICA
CoefficientList[Series[(1+x^7)/((1-x^2)^2*(1-x^12)), {x, 0, 70}], x] (* G. C. Greubel, Jul 30 2019 *)
LinearRecurrence[{1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, -1, 1}, {1, 0, 2, 0, 3, 0, 4, 1, 5, 2, 6, 3, 8, 4, 10}, 60] (* Harvey P. Dale, Aug 10 2019 *)
PROG
(PARI) my(x='x+O('x^70)); Vec((1+x^7)/((1-x^2)^2*(1-x^12))) \\ G. C. Greubel, Jul 30 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 70); Coefficients(R!( (1+x^7)/((1-x^2)^2*(1-x^12)) )); // G. C. Greubel, Jul 30 2019
(Sage) ((1+x^7)/((1-x^2)^2*(1-x^12))).series(x, 70).coefficients(x, sparse=False) # G. C. Greubel, Jul 30 2019
(GAP) a:=[1, 0, 2, 0, 3, 0, 4, 1, 5, 2, 6, 3, 8, 4, 10];; for n in [16..70] do a[n]:=a[n-1]+a[n-2]-a[n-3]+a[n-12]-a[n-13]-a[n-14]+a[n-15]; od; a; # G. C. Greubel, Jul 30 2019
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved