A155606 a(n) = 8^n + 3^n - 1.

1, 10, 72, 538, 4176, 33010, 262872, 2099338, 16783776, 134237410, 1073800872, 8590111738, 68720008176, 549757408210, 4398051294072, 35184386437738, 281475019757376, 2251799942825410, 18014398896902472, 144115189238117338

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Index entries for linear recurrences with constant coefficients, signature (12,-35,24).

Formula

G.f.: 1/(1-8*x) + 1/(1-3*x) - 1/(1-x).

E.g.f.: e^(8*x) + e^(3*x) - e^x.

a(n) = 11*a(n-1) - 24*a(n-2) - 14 with a(0)=1, a(1)=10. - Vincenzo Librandi, Jul 21 2010

Example

G.f. = 1 + 10*x + 72*x^2 + 538*x^3 + 4176*x^4 + 33010*x^5 + 262872*x^6 + ...

Maple

A155606:=n->8^n+3^n-1: seq(A155606(n), n=0..30); # Wesley Ivan Hurt, Jan 24 2017

Prog

(PARI) a(n)=8^n+3^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155588, A155590, A155592, A155593, A155594, A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605.

Sequence in context: A037712 A037614 A138782 * A181671 A058111 A223120

Adjacent sequences: A155603 A155604 A155605 * A155607 A155608 A155609

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 25 2009

Status

approved