This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A069478 #15 Sep 08 2022 08:45:05 %S A069478 360,480,600,720,840,960,1080,1200,1320,1440,1560,1680,1800,1920,2040, %T A069478 2160,2280,2400,2520,2640,2760,2880,3000,3120,3240,3360,3480,3600, %U A069478 3720,3840,3960,4080,4200,4320,4440,4560,4680,4800,4920,5040,5160,5280 %N A069478 First differences of A069477, successive differences of (n+1)^5 - n^5. %H A069478 G. C. Greubel, <a href="/A069478/b069478.txt">Table of n, a(n) for n = 1..1000</a> %H A069478 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A069478 a(n) = 120*(n+2). %F A069478 From _Chai Wah Wu_, Nov 11 2018: (Start) %F A069478 a(n) = 2*a(n-1) - a(n-2) for n > 2. %F A069478 G.f.: x*(-240*x + 360)/(x - 1)^2. (End) %F A069478 E.g.f.: 120*(-2 + (2+x)*exp(x)). - _G. C. Greubel_, Nov 11 2018 %t A069478 Differences[#[[2]]-#[[1]]&/@Partition[Range[50]^5,2,1],3] (* _Harvey P. Dale_, Jan 28 2013 *) %t A069478 120(Range[50] +2) (* _G. C. Greubel_, Nov 11 2018 *) %o A069478 (PARI) vector(50, n, 120*(n+2)) \\ _G. C. Greubel_, Nov 11 2018 %o A069478 (Magma) [120*(n+2): n in [1..50]]; // _G. C. Greubel_, Nov 11 2018 %Y A069478 Cf. A022521, A068236, A069477. %K A069478 nonn %O A069478 1,1 %A A069478 Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Apr 11 2002 %E A069478 Corrected by _T. D. Noe_, Mar 14 2008