A083328 a(n) = (6^n - 5^n + 4^n - 3^n)/2.

0, 1, 9, 64, 423, 2716, 17199, 108004, 673983, 4183516, 25845039, 158993044, 974443743, 5952752716, 36262150479, 220363399684, 1336386968703, 8090385360316, 48906795729519, 295279984663924, 1780943516632863

Offset: 0

Author

Paul Barry, Apr 27 2003

Keywords

• easy
• nonn

Comments

Binomial transform of A083327.

Links

• Index entries for linear recurrences with constant coefficients, signature (18,-119,342,-360).

Formula

G.f.: x(1-9x+21x^2)/((1-3x)(1-4x)(1-5x)(1-6x)).

E.g.f.: exp(6x) - exp(5x) + exp(4x) - exp(3x).