OFFSET
0,10
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,0,0,-1,1).
FORMULA
EXAMPLE
G.f. = 1 - x^4 + x^5 + x^8 - 2*x^9 + x^10 - x^12 + 3*x^13 - 3*x^14 + x^15 + ...
MATHEMATICA
CoefficientList[Series[1/(1 + x^4 - x^5), {x, 0, 100}], x] (* Vincenzo Librandi, Sep 27 2014 *)
LinearRecurrence[{0, 0, 0, -1, 1}, {1, 0, 0, 0, -1}, 60] (* Harvey P. Dale, Sep 11 2024 *)
PROG
(PARI) {a(n) = if( n<0, n=-5-n; polcoeff( 1 / (1 - x - x^5) + x * O(x^n), n), polcoeff( 1 / (1 + x^4 - x^5) + x * O(x^n), n))};
(Magma) m:=60; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1 + x^4 - x^5))); // G. C. Greubel, Aug 04 2018
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Michael Somos, Sep 26 2014
STATUS
approved