A017022 a(n) = (7*n + 3)^6.
729, 1000000, 24137569, 191102976, 887503681, 3010936384, 8303765625, 19770609664, 42180533641, 82653950016, 151334226289, 262144000000, 433626201009, 689869781056, 1061520150601, 1586874322944
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
Programs
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Magma
[(7*n+3)^6: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011
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Mathematica
(7*Range[0,40] +3)^6 (* G. C. Greubel, Oct 17 2023 *)
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SageMath
[(7*n+3)^6 for n in range(41)] # G. C. Greubel, Oct 17 2023
Formula
From G. C. Greubel, Oct 17 2023: (Start)
G.f.: (729 + 994897*x + 17152878*x^2 + 43114478*x^3 + 21697313*x^4 + 1742889*x^5 + 4096*x^6)/(1-x)^7.
E.g.f.: (729 + 999271*x + 11069149*x^2 + 20281590*x^3 + 10996580*x^4 + 2067261*x^5 + 117649*x^6)*exp(x). (End)