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A155603 5^n+3^n-1. 12
1, 7, 33, 151, 705, 3367, 16353, 80311, 397185, 1972807, 9824673, 49005271, 244672065, 1222297447, 6108298593, 30531927031, 152630937345, 763068593287, 3815084686113, 19074648589591, 95370918425025, 476847618556327 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (9,-23,15).

FORMULA

G.f.: 1/(1-5*x)+1/(1-3*x)-1/(1-x). E.g.f.: e^(5*x)+e^(3*x)-e^x.

a(n)=8*a(n-1)-15*a(n-2)-8 with a(0)=1, a(1)=7 - Vincenzo Librandi, Jul 21 2010

PROG

(PARI) a(n)=5^n+3^n-1 \\ Charles R Greathouse IV, Jun 11 2015

CROSSREFS

Cf. A074501, A020515, A155588, A155590, A155592, A155593, A155594, A155596, A155597, A155598, A155599, A155600, A155601, A155602.

Sequence in context: A211829 A227555 A304278 * A282991 A295270 A275860

Adjacent sequences:  A155600 A155601 A155602 * A155604 A155605 A155606

KEYWORD

nonn,easy

AUTHOR

Mohammad K. Azarian, Jan 25 2009

STATUS

approved

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Last modified September 28 08:33 EDT 2020. Contains 337394 sequences. (Running on oeis4.)