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

0,2

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).

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

Prog

(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

Crossrefs

Cf. A048505.

Sequence in context: A306133 A317268 A258739 * A227704 A248405 A116341

Adjacent sequences: A048510 A048511 A048512 * A048514 A048515 A048516

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved