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%I #15 Sep 08 2022 08:45:05
%S 360,480,600,720,840,960,1080,1200,1320,1440,1560,1680,1800,1920,2040,
%T 2160,2280,2400,2520,2640,2760,2880,3000,3120,3240,3360,3480,3600,
%U 3720,3840,3960,4080,4200,4320,4440,4560,4680,4800,4920,5040,5160,5280
%N First differences of A069477, successive differences of (n+1)^5 - n^5.
%H G. C. Greubel, <a href="/A069478/b069478.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).
%F a(n) = 120*(n+2).
%F From _Chai Wah Wu_, Nov 11 2018: (Start)
%F a(n) = 2*a(n-1) - a(n-2) for n > 2.
%F G.f.: x*(-240*x + 360)/(x - 1)^2. (End)
%F E.g.f.: 120*(-2 + (2+x)*exp(x)). - _G. C. Greubel_, Nov 11 2018
%t Differences[#[[2]]-#[[1]]&/@Partition[Range[50]^5,2,1],3] (* _Harvey P. Dale_, Jan 28 2013 *)
%t 120(Range[50] +2) (* _G. C. Greubel_, Nov 11 2018 *)
%o (PARI) vector(50, n, 120*(n+2)) \\ _G. C. Greubel_, Nov 11 2018
%o (Magma) [120*(n+2): n in [1..50]]; // _G. C. Greubel_, Nov 11 2018
%Y Cf. A022521, A068236, A069477.
%K nonn
%O 1,1
%A Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Apr 11 2002
%E Corrected by _T. D. Noe_, Mar 14 2008
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