A063396 T(3,n) with T(n,m) as in A063394.

1, 15, 47, 131, 343, 863, 2111, 5055, 11903, 27647, 63487, 144383, 325631, 729087, 1622015, 3588095, 7897087, 17301503, 37748735, 82051071, 177733631, 383778815, 826277887, 1774190591, 3800039423, 8120172543, 17314086911, 36842766335, 78248935423

Offset

0,2

Links

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-18,20,-8)

Formula

For n>0, 1/4 * [(n+1)(n+2)2^n + 10(n+1)2^n + 6*2^n - 4]. - Ralf Stephan, May 08 2004

G.f.: -(20*x^4-52*x^3+40*x^2-8*x-1) / ((x-1)*(2*x-1)^3). - Colin Barker, May 27 2015

Mathematica

Join[{1}, LinearRecurrence[{7, -18, 20, -8}, {15, 47, 131, 343}, 30]] (* Harvey P. Dale, Jul 31 2014 *)

Prog

(PARI) Vec(-(20*x^4-52*x^3+40*x^2-8*x-1)/((x-1)*(2*x-1)^3) + O(x^100)) \\ Colin Barker, May 27 2015

Crossrefs

Cf. A063394, A063397, A063398.

Sequence in context: A143031 A214675 A166118 * A236401 A000813 A156205

Adjacent sequences: A063393 A063394 A063395 * A063397 A063398 A063399

Keyword

nonn,easy

Author

Floor van Lamoen, Jul 16 2001

Status

approved