A048512 a(n) = T(7,n), array T given by A048505.

1, 65, 210, 536, 1264, 2880, 6448, 14288, 31440, 68816, 149968, 325584, 704464, 1519568, 3268560, 7012304, 15007696, 32047056, 68288464, 145227728, 308281296, 653262800, 1382023120, 2919235536, 6157238224, 12968787920

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• easy

Comments

n-th difference of a(n), a(n-1), ..., a(0) is (64, 81, 100, 121, ...).

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).

Programs

Magma

[(n^2+29*n+196) * 2^(n-2) - 48: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011

PARI

Vec((216*x^3-227*x^2+58*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Feb 25 2015

Formula

a(n) = (n^2+29*n+196) * 2^(n-2) - 48. - 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.: (216*x^3-227*x^2+58*x+1) / ((x-1)*(2*x-1)^3). - Colin Barker, Feb 25 2015