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 A374489 #28 Nov 07 2024 17:42:03 %S A374489 1,26,171,628,1685,3726,7231,12776,21033,32770,48851,70236,97981, %T A374489 133238,177255,231376,297041,375786,469243,579140,707301,855646, %U A374489 1026191,1221048,1442425,1692626,1974051,2289196,2640653,3031110,3463351,3940256,4464801,5040058,5669195 %N A374489 a(n) = floor(Sum_{k=n^4..(n+1)^4} k^(1/4)). %H A374489 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1). %F A374489 a(n) = 4*n^4+8*n^3+8*n^2+5*n+1. %F A374489 From _Stefano Spezia_, Jul 09 2024: (Start) %F A374489 G.f.: (1 + 21*x + 51*x^2 + 23*x^3)/(1 - x)^5. %F A374489 E.g.f.: exp(x)*(1 + 25*x + 60*x^2 + 32*x^3 + 4*x^4). (End) %t A374489 LinearRecurrence[{5,-10,10,-5,1},{1,26,171,628,1685},40] (* _Harvey P. Dale_, Nov 07 2024 *) %Y A374489 Cf. A248698, A248575, A374384. %K A374489 nonn,easy %O A374489 0,2 %A A374489 _Amrit Awasthi_, Jul 09 2024