A099931 a(n) = Pell(n) * Pell(n-1) * Pell(n-2) * Pell(n-3) / 120.
1, 29, 1015, 34307, 1166438, 39618670, 1345902818, 45720876202, 1553165059215, 52761884311059, 1792350941301921, 60887169888069525, 2068371426604585180, 70263741326790571820, 2386898833730186862100, 81084296605231967961956, 2754479185745716380504749
Offset: 4
Links
- Index entries for linear recurrences with constant coefficients, signature (29,174,-174,-29,1).
Formula
G.f.: x^4 / ((1-x)*(1+6x+x^2)*(1-34x+x^2)).
a(n) = 29*a(n-1) + 174*a(n-2) - 174*a(n-3) - 29*a(n-4) + a(n-5). - Klaus Purath, Oct 17 2020
G.f.: x^4 * exp( Sum_{k>=1} Pell(5*k)/Pell(k) * x^k/k ). - Seiichi Manyama, May 07 2025