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A074533 a(n) = 2^n + 4^n + 6^n. 1
3, 12, 56, 288, 1568, 8832, 50816, 296448, 1745408, 10340352, 61515776, 366993408, 2193563648, 13127811072, 78632615936, 471258759168, 2825404940288, 16943839444992, 101628676407296, 609634618441728 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

T. A. Gulliver, Sums of Powers of Integers Divisible by Three, Int. J. Contemp. Math. Sciences, Vol. 7, 2012, no. 38, pp. 1895-1901. - From N. J. A. Sloane, Dec 22 2012

D. Suprijanto and Rusliansyah, Observation on Sums of Powers of Integers Divisible by Four, Applied Mathematical Sciences, Vol. 8, 2014, no. 45, 2219-2226.

Index entries for linear recurrences with constant coefficients, signature (12,-44,48).

FORMULA

G.f.: 1/(1-2*x)+1/(1-4*x)+1/(1-6*x). E.g.f.: exp(2*x)+exp(4*x)+exp(6*x). - Mohammad K. Azarian, Dec 27 2008

MATHEMATICA

Table[2^n + 4^n + 6^n, {n, 0, 20}]

PROG

(MAGMA) [2^n + 4^n + 6^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011

CROSSREFS

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

Sequence in context: A276902 A192132 A179486 * A000257 A301418 A224922

Adjacent sequences:  A074530 A074531 A074532 * A074534 A074535 A074536

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v, Aug 23 2002

STATUS

approved

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Last modified July 9 09:40 EDT 2020. Contains 335542 sequences. (Running on oeis4.)