A167477 Expansion of (1-3x+5x^2-x^3)/(1-3x+x^2)^2.

1, 3, 12, 44, 149, 479, 1487, 4503, 13386, 39226, 113641, 326173, 928957, 2628459, 7395624, 20708264, 57739517, 160391483, 444068171, 1225831551, 3374848806, 9268963318, 25401364177, 69472849849, 189661024249, 516904018899

Offset: 0

Author

Paul Barry, Nov 04 2009

Keywords

• easy
• nonn

Comments

Hankel transform of A033297 (when this starts 1,1,4,...).

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (6,-11,6,-1).

Programs

Mathematica

LinearRecurrence[{6, -11, 6, -1}, {1, 3, 12, 44}, 100] (* G. C. Greubel, Jun 13 2016 *)

Formula

a(n) = 4*A001871(n-1) - A001871(n) + A001519(n+2). - R. J. Mathar, Jun 28 2011