A048513 a(n) = T(8,n), array T given by A048505.

1, 82, 263, 665, 1553, 3505, 7777, 17089, 37313, 81089, 175553, 378817, 815041, 1748929, 3743681, 7995329, 17039297, 36241345, 76939201, 163053505, 344981441, 728760257, 1537212353, 3238002625, 6811549633, 14310965185

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• easy

Comments

n-th difference of a(n), a(n-1), ..., a(0) is (8^2, 9^2, 10^2, ...).

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (7,-18,20,-8).

Crossrefs

Cf. A048505.

Programs

Magma

[(n^2+33*n+256) * 2^(n-2) - 63: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011

PARI

Vec((280*x^3-293*x^2+75*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015

Formula

a(n) = (n^2+33*n+256) * 2^(n-2) - 63. - Ralf Stephan, Feb 05 2004

a(n) = 7*a(n-1)-18*a(n-2)+20*a(n-3)-8*a(n-4). - Colin Barker, Feb 25 2015

G.f.: (280*x^3-293*x^2+75*x+1) / ((x-1)*(2*x-1)^3). Colin Barker, Feb 25 2015