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A083231 a(n) = (3*5^n + (-3)^n)/4. 1
1, 3, 21, 87, 489, 2283, 11901, 58047, 294609, 1459923, 7338981, 36576807, 183238329, 915128763, 4578832461, 22884596367, 114451679649, 572172304803, 2861119804341, 14304824180727, 71526445426569, 357625253564043 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (2,15).

FORMULA

a(n) = (3*5^n + (-3)^n)/4.

G.f.: (1+x)/((1-5*x)*(1+3*x)).

E.g.f.: (3*exp(5*x) + exp(-3*x)/4.

PROG

(MAGMA) [(3*5^n+(-3)^n)/4: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011

CROSSREFS

Cf. A083232, A053524 (binomial transform, shifted).

Sequence in context: A253943 A034490 A071351 * A129755 A059826 A108970

Adjacent sequences:  A083228 A083229 A083230 * A083232 A083233 A083234

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2003

STATUS

approved

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Last modified October 17 16:20 EDT 2019. Contains 328117 sequences. (Running on oeis4.)