A155636 9^n+5^n-1.

1, 13, 105, 853, 7185, 62173, 547065, 4861093, 43437345, 389373613, 3496550025, 31429887733, 282673677105, 2543086531453, 22882895970585, 205921649672773, 1853172776742465, 16677944639119693, 150098449994264745

Offset

0,2

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (15,-59,45).

Formula

G.f.: 1/(1-9*x)+1/(1-5*x)-1/(1-x). E.g.f.: e^(9*x)+e^(5*x)-e^x.

a(n)=14*a(n-1)-45*a(n-2)-32 with a(0)=1, a(1)=13 - Vincenzo Librandi, Jul 21 2010

Prog

(PARI) a(n)=9^n+5^n-1 \\ Charles R Greathouse IV, Jun 11 2015

Crossrefs

Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635.

Sequence in context: A320204 A080422 A030055 * A055902 A295249 A295648

Adjacent sequences: A155633 A155634 A155635 * A155637 A155638 A155639

Keyword

nonn,easy

Author

Mohammad K. Azarian, Jan 30 2009

Status

approved