OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
A. M. Odlyzko, Differences of the partition function, Acta Arithmetica 49.3 (1988): 237-254.
Dennis Stanton and Doron Zeilberger, The Odlyzko conjecture and O’Hara’s unimodality proof, Proceedings of the American Mathematical Society 107.1 (1989): 39-42.
Index entries for linear recurrences with constant coefficients, signature (-5,-14,-29,-49,-71,-90,-101,-101,-90,-71,-49,-29,-14,-5,-1).
FORMULA
Equivalent g.f.: 1 / ((1+x)^3*(1-x+x^2)*(1+x^2)*(1+x+x^2)^2*(1+x+x^2+x^3+x^4)). - Colin Barker, Aug 10 2016
MATHEMATICA
CoefficientList[Series[1/((1+x)^3(1-x+x^2)(1+x^2)(1+x+x^2)^2(1+ x+x^2+ x^3+x^4)), {x, 0, 100}], x] (* or *) LinearRecurrence[{-5, -14, -29, -49, -71, -90, -101, -101, -90, -71, -49, -29, -14, -5, -1}, {1, -5, 11, -14, 12, -9, 9, -13, 20, -26, 27, -25, 26, -33, 43}, 100] (* Harvey P. Dale, Mar 14 2023 *)
CROSSREFS
KEYWORD
sign,easy
AUTHOR
N. J. A. Sloane, Aug 09 2016
STATUS
approved