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A084171 Binomial transform of generalized Jacobsthal numbers A084170. 3
1, 3, 11, 37, 119, 373, 1151, 3517, 10679, 32293, 97391, 293197, 881639, 2649013, 7955231, 23882077, 71678999, 215102533, 645438671, 1936578157, 5810258759, 17431824853, 52297571711, 156896909437, 470699116919, 1412114127973 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-6)

FORMULA

a(n) = 5*3^n/3+0^n/3-2^n.

G.f.: (1-2*x+2*x^2)/((1-2*x)*(1-3*x)).

E.g.f.: 5*exp(3*x)/3-exp(2*x)+exp(0)/3.

a(n) = A090888(n-1, 5), for n > 0. - Ross La Haye, Sep 21 2004

MATHEMATICA

Join[{1}, LinearRecurrence[{5, -6}, {3, 11}, 30]] (* Harvey P. Dale, Jan 20 2014 *)

PROG

(MAGMA) [5*3^n/3+0^n/3-2^n: n in [0..35]]; // Vincenzo Librandi, Jul 05 2011

CROSSREFS

Sequence in context: A040017 A007615 A065540 * A192875 A118044 A027062

Adjacent sequences:  A084168 A084169 A084170 * A084172 A084173 A084174

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 18 2003

STATUS

approved

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Last modified February 22 21:45 EST 2018. Contains 299469 sequences. (Running on oeis4.)