|
|
A074539
|
|
a(n) = 2^n + 5^n + 8^n.
|
|
1
|
|
|
3, 15, 93, 645, 4737, 35925, 277833, 2175405, 17168097, 136171365, 1083508473, 8638764765, 68963621457, 550976525205, 4404150043113, 35214889699725, 281627564666817, 2252562753269445, 18018213207009753, 144134261562708285
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 0..200
D. Suprijanto, I. W. Suwarno, Observation on Sums of Powers of Integers Divisible by 3k-1, Applied Mathematical Sciences, Vol. 8, 2014, no. 45, pp. 2211-2217.
Index entries for linear recurrences with constant coefficients, signature (15,-66,80).
|
|
FORMULA
|
From Mohammad K. Azarian, Dec 27 2008: (Start)
G.f.: 1/(1-2*x) + 1/(1-5*x) + 1/(1-8*x).
E.g.f.: exp(2*x) + exp(5*x) + exp(8*x). (End)
|
|
MATHEMATICA
|
Table[2^n + 5^n + 8^n, {n, 0, 20}]
|
|
PROG
|
(MAGMA) [2^n + 5^n + 8^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011
|
|
CROSSREFS
|
Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A002893 A256335 A258313 * A103210 A203014 A060066
Adjacent sequences: A074536 A074537 A074538 * A074540 A074541 A074542
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Robert G. Wilson v, Aug 23 2002
|
|
STATUS
|
approved
|
|
|
|