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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

REFERENCES

D. Suprijanto and Rusliansyah, Observation on Sums of Powers of Integers Divisible by Four, Applied Mathematical Sciences, Vol. 8, 2014, no. 45, 2219 - 2226; http://dx.doi.org/10.12988/ams.2014.4140.

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

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 17 02:49 EDT 2019. Contains 325092 sequences. (Running on oeis4.)