A090294 a(n) = K_3(n) = Sum_{k>=0} A090285(3,k)*2^k*binomial(n,k). a(n) = (4*n^3+30*n^2+56*n+15)/3.

5, 35, 93, 187, 325, 515, 765, 1083, 1477, 1955, 2525, 3195, 3973, 4867, 5885, 7035, 8325, 9763, 11357, 13115, 15045, 17155, 19453, 21947, 24645, 27555, 30685, 34043, 37637, 41475, 45565, 49915, 54533, 59427, 64605, 70075, 75845, 81923, 88317

Offset: 0

Author

Philippe Deléham, Jan 25 2004

Keywords

• easy
• nonn

Comments

Values of polynomial K_3 related to A090285.

Crossrefs

Cf. A090285.

Programs

Maple

A090294:=n->(4*n^3+30*n^2+56*n+15)/3; seq(A090294(n), n=0..100); # Wesley Ivan Hurt, Dec 19 2013

Mathematica

Table[(4 n^3 + 30 n^2 + 56 n + 15)/3, {n, 0, 100}] (* Wesley Ivan Hurt, Dec 19 2013 *)

Formula

O.g.f.: 8/(-1+x)^4+5/(-1+x)-2/(-1+x)^2-4/(-1+x)^3 . - R. J. Mathar, Feb 26 2008