A027151 a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027144.
1, 3, 7, 21, 45, 135, 291, 873, 1881, 5643, 12159, 36477, 78597, 235791, 508059, 1524177, 3284145, 9852435, 21229047, 63687141, 137226717, 411680151, 887047443, 2661142329, 5733964809, 17201894427, 37064931183, 111194793549, 239591481525, 718774444575
Offset: 0
Links
- Colin Barker, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (0,6,0,3).
Programs
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PARI
Vec((1 + 3*x)*(1 + x^2) / (1 - 6*x^2 - 3*x^4) + O(x^40)) \\ Colin Barker, Jan 18 2018
Formula
G.f.: (1 + 3*x)*(1 + x^2) / (1 - 6*x^2 - 3*x^4).
a(n) = 6*a(n-2) + 3*a(n-4) for n>3. - Colin Barker, Jan 18 2018