A017020 a(n) = (7*n + 3)^4.
81, 10000, 83521, 331776, 923521, 2085136, 4100625, 7311616, 12117361, 18974736, 28398241, 40960000, 57289761, 78074896, 104060401, 136048896, 174900625, 221533456, 276922881, 342102016, 418161601
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
Programs
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Magma
[(7*n+3)^4: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011
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Mathematica
(7*Range[0,20]+3)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1},{81,10000,83521,331776,923521},30] (* Harvey P. Dale, Oct 29 2019 *) -
SageMath
[(7*n+3)^4 for n in range(41)] # G. C. Greubel, Oct 17 2023
Formula
From G. C. Greubel, Oct 17 2023: (Start)
G.f.: (81 + 9595*x + 34331*x^2 + 13361*x^3 + 256*x^4)/(1 - x)^5.
E.g.f.: (81 + 9919*x + 31801*x^2 + 18522*x^3 + 2401*x^4)*exp(x). (End)