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 A178617 #19 Oct 21 2022 21:25:47 %S A178617 -1,-7,-11,17,131,409,953,1889,3367,5561,8669,12913,18539,25817,35041, %T A178617 46529,60623,77689,98117,122321,150739,183833,222089,266017,316151, %U A178617 373049,437293,509489,590267,680281,780209,890753,1012639,1146617 %N A178617 a(n) = n^4 - (n+1)^3. %H A178617 G. C. Greubel, <a href="/A178617/b178617.txt">Table of n, a(n) for n = 0..5000</a> %H A178617 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 1). %F A178617 a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5), where a(0)=-1, a(1)=-7, a(2)=-11, a(3)=17, a(4)=131. - _Harvey P. Dale_, Jan 30 2013 %F A178617 From _G. C. Greubel_, Jan 29 2019: (Start) %F A178617 G.f.: (-1 - 2*x + 14*x^2 + 12*x^3 + x^4)/(1-x)^5. %F A178617 E.g.f.: (-1 - 6*x + x^2 + 5*x^3 + x^4)*exp(x). (End) %e A178617 -7 is an element since 1^4 - 2^3 = 1 - 8 = -7, %e A178617 -11 is an element since 2^4 - 3^3 = 16 - 27 = -11. %t A178617 Table[n^4-(n+1)^3,{n,0,40}] %t A178617 LinearRecurrence[{5,-10,10,-5,1},{-1,-7,-11,17,131},40] (* _Harvey P. Dale_, Jan 30 2013 *) %o A178617 (PARI) vector(40, n, n--; n^4-(n+1)^3) \\ _G. C. Greubel_, Jan 29 2019 %o A178617 (Magma) [n^4-(n+1)^3: n in [0..40]]; // _G. C. Greubel_, Jan 29 2019 %o A178617 (Sage) [n^4-(n+1)^3 for n in (0..40)] # _G. C. Greubel_, Jan 29 2019 %o A178617 (GAP) List([0..40], n -> n^4-(n+1)^3); # _G. C. Greubel_, Jan 29 2019 %Y A178617 Cf. A028387, A153257. %K A178617 sign,easy %O A178617 0,2 %A A178617 _Vladimir Joseph Stephan Orlovsky_, May 30 2010