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A017021
a(n) = (7*n + 3)^5.
3
243, 100000, 1419857, 7962624, 28629151, 79235168, 184528125, 380204032, 714924299, 1252332576, 2073071593, 3276800000, 4984209207, 7339040224, 10510100501, 14693280768, 20113571875, 27027081632, 35723051649, 46525874176
OFFSET
0,1
FORMULA
From G. C. Greubel, Oct 17 2023: (Start)
G.f.: (243 + 98542*x + 823502*x^2 + 938622*x^3 + 154907*x^4 + 1024*x^5)/(1-x)^6.
E.g.f.: (243 + 99757*x + 610050*x^2 + 667135*x^3 + 204085*x^4 + 16807*x^5)*exp(x). (End)
MATHEMATICA
(7*Range[0, 20]+3)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {243, 100000, 1419857, 7962624, 28629151, 79235168}, 20] (* Harvey P. Dale, Aug 27 2017 *)
PROG
(Magma) [(7*n+3)^5: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011
(SageMath) [(7*n+3)^5 for n in range(41)] # G. C. Greubel, Oct 17 2023
CROSSREFS
KEYWORD
nonn,easy
STATUS
approved