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A074552 a(n) = 3^n + 5^n + 7^n. 1
3, 15, 83, 495, 3107, 20175, 134003, 903855, 6161987, 42326415, 292299923, 2026332015, 14085959267, 98111307855, 684331371443, 4778093436975, 33385561506947, 233393582580495, 1632228682596563, 11417969833962735 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (15,-71,105).

FORMULA

From Mohammad K. Azarian, Dec 30 2008: (Start)

G.f.: 1/(1-3*x) + 1/(1-5*x) + 1/(1-7*x).

E.g.f.: exp(3*x) + exp(5*x) + exp(7*x). (End)

a(n) = 15*a(n-1) - 71*a(n-2) + 105*a(n-3).

MATHEMATICA

Table[3^n + 5^n + 7^n, {n, 0, 20}]

PROG

(MAGMA) [3^n + 5^n + 7^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011

CROSSREFS

Cf. A001550, A001576, A034513, A001579, A074501 - A074580.

Sequence in context: A052451 A026019 A118356 * A193658 A195885 A115910

Adjacent sequences:  A074549 A074550 A074551 * A074553 A074554 A074555

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified February 20 11:26 EST 2020. Contains 332073 sequences. (Running on oeis4.)