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A131476
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a(n)=floor(n^3/3).
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2
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0, 0, 2, 9, 21, 41, 72, 114, 170, 243, 333, 443, 576, 732, 914, 1125, 1365, 1637, 1944, 2286, 2666, 3087, 3549, 4055, 4608, 5208, 5858, 6561, 7317, 8129, 9000, 9930, 10922, 11979, 13101, 14291, 15552, 16884, 18290, 19773, 21333, 22973
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index to sequences with linear recurrences with constant coefficients, signature (3,-3,2,-3,3,-1).
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FORMULA
| G.f.: x^2*(2+3x+x^3)/((1-x)^4*(1+x+x^2)). a(n)=(A057078(n)-A024001(n))/3. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 19 2008]
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MATHEMATICA
| Table[Quotient[n^3, 3], {n, 0, 80}] (* From Vladimir Joseph Stephan Orlovsky, May 07 2011 *)
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PROG
| (MAGMA) [Floor(n^3/3): n in [0..50]]; // Vincenzo Librandi, May 08 2011
(PARI) a(n)=n^3\3 \\ Charles R Greathouse IV, May 08, 2011
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CROSSREFS
| Cf. A000982, A008619, A004526, A007590, A036487.
Sequence in context: A002888 A041963 A005476 * A023549 A192971 A024850
Adjacent sequences: A131473 A131474 A131475 * A131477 A131478 A131479
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KEYWORD
| nonn,easy
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Jul 27 2007
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