A213766 Principal diagonal of the convolution array A213765.
1, 5, 24, 83, 263, 776, 2201, 6077, 16488, 44211, 117615, 311232, 820641, 2158645, 5669096, 14872483, 38989367, 102165928, 267628569, 700924525, 1835493016, 4806144675, 12583939679, 32947361088, 86260987393, 225840387941
Offset: 1
Links
- Clark Kimberling, Table of n, a(n) for n = 1..1000
- Index entries for linear recurrences with constant coefficients, signature (5,-6,-3,6,1,-1).
Programs
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Mathematica
(See A213765.)
Formula
a(n) = 5*a(n-1) - 6*a(n-2) - 3*a(n-3) + 6*a(n-4) + a(n-5) - a(n-6).
G.f.: f(x)/g(x), where f(x) = x*(1 + 5*x - 10*x^2) and g(x) = (1 - 3*x + 2*x^2 )^2.