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

0,3

Comments

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

Links

Table of n, a(n) for n=0..26.

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.

Crossrefs

Sequence in context: A180670 A268262 A293101 * A268622 A289364 A074443

Adjacent sequences: A084896 A084897 A084898 * A084900 A084901 A084902

Keyword

easy,nonn

Author

Paul Barry, Jun 10 2003

Status

approved