A084899 Binomial transform of heptagonal numbers A000566.

0, 1, 9, 42, 152, 480, 1392, 3808, 9984, 25344, 62720, 152064, 362496, 851968, 1978368, 4546560, 10354688, 23396352, 52494336, 117047296, 259522560, 572522496, 1257242624, 2749366272, 5989466112, 13002342400, 28135391232

Offset: 0

Author

Paul Barry, Jun 10 2003

Keywords

• easy
• nonn

Comments

Binomial transform is A084900. 2nd binomial transform of (0,1,5,0,0,0,....).

Links

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

Formula

G.f.: x(1 + 3x)/(1 - 2x)^3; a(n)=2^(n - 2)*n(5n - 1)/2.