A084850 2^(n-1)*(n^2+2n+2).

1, 5, 20, 68, 208, 592, 1600, 4160, 10496, 25856, 62464, 148480, 348160, 806912, 1851392, 4210688, 9502720, 21299200, 47448064, 105119744, 231735296, 508559360, 1111490560, 2420113408, 5251268608, 11358175232, 24494735360

Offset: 0

Author

Paul Barry, Jun 09 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A084849. a(n)=A014477(n-1)+A001787(n+1).

Links

• Index entries for linear recurrences with constant coefficients, signature (6,-12,8).

Crossrefs

Cf. A134083.

Programs

Mathematica

LinearRecurrence[{6,-12,8},{1,5,20},40] (* Harvey P. Dale, Mar 15 2016 *)

Formula

G.f.: (1 - x+2x^2)/(1 - 2x)^3.

Equals A134083 * [1,2,3,...]. - Gary W. Adamson, Oct 07 2007