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A274072 a(n) = 5^n-(-1)^n. 2
0, 6, 24, 126, 624, 3126, 15624, 78126, 390624, 1953126, 9765624, 48828126, 244140624, 1220703126, 6103515624, 30517578126, 152587890624, 762939453126, 3814697265624, 19073486328126, 95367431640624, 476837158203126, 2384185791015624, 11920928955078126 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4,5).

FORMULA

O.g.f.: 6*x/((1+x)*(1-5*x)).

E.g.f.: exp(5*x) - exp(-x).

a(n) = 4*a(n-1) + 5*a(n-2) for n>1.

a(n) = 6*A015531(n).

PROG

(PARI) concat(0, Vec(6*x/((1+x)*(1-5*x)) + O(x^30)))

CROSSREFS

Cf. A015531.

Sequences of the type k^n-(-1)^n: A062157 (k=0), A010673 (k=1), A062510 (k=2), A105723 (k=3), A247281 (k=4), this sequence (k=5), A274073 (k=6).

Sequence in context: A060249 A052557 A188232 * A224662 A200160 A219622

Adjacent sequences:  A274069 A274070 A274071 * A274073 A274074 A274075

KEYWORD

nonn,easy

AUTHOR

Colin Barker, Jun 09 2016

STATUS

approved

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Last modified February 29 05:25 EST 2020. Contains 332353 sequences. (Running on oeis4.)