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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
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.
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
Sequence in context: A179486 A369482 A366097 * A000257 A301418 A224922
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved

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Last modified March 28 17:25 EDT 2024. Contains 371254 sequences. (Running on oeis4.)