A084857 Inverse binomial transform of n^2*3^(n-1).

0, 1, 10, 48, 176, 560, 1632, 4480, 11776, 29952, 74240, 180224, 430080, 1011712, 2351104, 5406720, 12320768, 27852800, 62521344, 139460608, 309329920, 682622976, 1499463680, 3279945728, 7147094016, 15518924800, 33587986432, 72477573120, 155960999936

Offset: 0

Author

Paul Barry, Jun 09 2003

Keywords

• easy
• nonn

Comments

Binomial transform of octagonal numbers A000567. Inverse binomial transform of A069996.

Links

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

Crossrefs

Cf. A000567, A069996.

Programs

Mathematica

LinearRecurrence[{6,-12,8},{0,1,10},30] (* Harvey P. Dale, Dec 28 2019 *)

Formula

a(n) = n*(3*n - 1)*2^(n - 2).

O.g.f.: -x*(1+4*x)/(-1+2*x)^3. - R. J. Mathar, Apr 02 2008