A083295 a(n) = (4*2^n + (-8)^n)/5.

1, 0, 16, -96, 832, -6528, 52480, -419328, 3355648, -26843136, 214749184, -1717985280, 13743898624, -109951156224, 879609315328, -7036874391552, 56294995394560, -450359962632192, 3602879702106112, -28823037614751744, 230584300922208256

Offset: 0

Author

Paul Barry, Apr 24 2003

Keywords

• easy
• sign

Comments

Binomial transform of A083294.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..300
• Index entries for linear recurrences with constant coefficients, signature (-6, 16).

Crossrefs

Cf. A083296.

Programs

Magma

[(4*2^n+(-8)^n)/5: n in [0..30]]; // Vincenzo Librandi, Jun 08 2011

Formula

a(n) = (4*2^n + (-8)^n)/5.

G.f.: (1+6*x)/((1-2*x)*(1+8*x)).

E.g.f.: (4*exp(2*x) + exp(-8*x))/5.