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A082541 a(n) = (7*3^n - 4*0^n)/3. 5
1, 7, 21, 63, 189, 567, 1701, 5103, 15309, 45927, 137781, 413343, 1240029, 3720087, 11160261, 33480783, 100442349, 301327047, 903981141, 2711943423, 8135830269, 24407490807, 73222472421, 219667417263, 659002251789, 1977006755367 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A083495.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (3)

FORMULA

G.f.: (1+4*x)/(1-3*x).

E.g.f.: (7*exp(3*x) - 4*exp(0))/3.

a(n) = A005032(n-1), n > 0. - R. J. Mathar, Sep 17 2008

MATHEMATICA

Join[{1}, NestList[3#&, 7, 30]] (* Harvey P. Dale, May 07 2019 *)

PROG

(MAGMA) [(7*3^n-4*0^n)/3: n in [0..30]]; // Vincenzo Librandi, Sep 15 2011

(PARI) a(n)=(7*3^n-4*0^n)/3 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A083497.

Sequence in context: A088656 A146139 A083596 * A005032 A152766 A152671

Adjacent sequences:  A082538 A082539 A082540 * A082542 A082543 A082544

KEYWORD

nonn,easy

AUTHOR

Paul Barry, May 02 2003

STATUS

approved

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Last modified February 26 11:49 EST 2020. Contains 332279 sequences. (Running on oeis4.)