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

0,3

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).

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.

Prog

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

Crossrefs

Cf. A083296.

Sequence in context: A185789 A322617 A014352 * A044267 A044648 A041488

Adjacent sequences: A083292 A083293 A083294 * A083296 A083297 A083298

Keyword

easy,sign

Author

Paul Barry, Apr 24 2003

Status

approved