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A176413 a(n) = 19*3^n. 1
19, 57, 171, 513, 1539, 4617, 13851, 41553, 124659, 373977, 1121931, 3365793, 10097379, 30292137, 90876411, 272629233, 817887699, 2453663097, 7360989291, 22082967873, 66248903619, 198746710857, 596240132571, 1788720397713, 5366161193139, 16098483579417 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Since 19^3 = 3^3+10^3+18^3, the cube of any multiple of 19 can be written as the sum of three positive cubes: (19*k)^3 = (3*k)^3 + (10*k)^3 + (18*k)^3.
LINKS
FORMULA
G.f.: 19/(1-3*x). - R. J. Mathar, Aug 24 2011
From Elmo R. Oliveira, Aug 16 2024: (Start)
E.g.f.: 19*exp(3*x).
a(n) = 19*A000244(n).
a(n) = 3*a(n-1) for n > 0. (End)
MATHEMATICA
19*3^Range[0, 30] (* or *) NestList[3#&, 19, 30] (* Harvey P. Dale, Feb 03 2013 *)
PROG
(Magma) [19*3^n: n in [0..250]];
CROSSREFS
Subsequence of A023042.
Cf. A000244.
Sequence in context: A093362 A341176 A251073 * A263336 A061973 A041702
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Apr 17 2010
EXTENSIONS
Comment edited by Jon E. Schoenfield, Jun 20 2010
a(24)-a(25) from Elmo R. Oliveira, Aug 16 2024
STATUS
approved

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Last modified September 8 10:21 EDT 2024. Contains 375753 sequences. (Running on oeis4.)