A048510 a(n) = T(5,n), array T given by A048505.

1, 37, 122, 320, 776, 1816, 4168, 9448, 21224, 47336, 104936, 231400, 507880, 1109992, 2416616, 5242856, 11337704, 24444904, 52559848, 112721896, 241172456, 514850792, 1096810472, 2332033000, 4949278696, 10485759976, 22179479528, 46841987048, 98784247784

Offset

0,2

Comments

n-th difference of a(n), a(n-1), ..., a(0) is (36, 49, 64, 81, ...).

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+21*n+100) * 2^(n-2) - 24. - 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, Mar 04 2015

G.f.: (112*x^3-119*x^2+30*x+1) / ((x-1)*(2*x-1)^3). - Colin Barker, Mar 04 2015

Mathematica

LinearRecurrence[{7, -18, 20, -8}, {1, 37, 122, 320}, 30] (* Harvey P. Dale, Sep 24 2016 *)

Prog

(Magma) [(n^2+21*n+100) * 2^(n-2) - 24: n in [0..30]]; // Vincenzo Librandi, Sep 26 2011
(PARI) Vec((112*x^3-119*x^2+30*x+1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, Mar 04 2015

Crossrefs

Sequence in context: A193105 A044288 A044669 * A250891 A250898 A165811

Adjacent sequences: A048507 A048508 A048509 * A048511 A048512 A048513

Keyword

nonn,easy

Author

Clark Kimberling

Status

approved