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 A076460 #14 Jul 04 2025 19:34:48 %S A076460 1,103,1130,6070,22355,64981,160468,351660,703365,1308835,2297086, %T A076460 3841058,6166615,9562385,14390440,21097816,30228873,42438495,58506130, %U A076460 79350670,106046171,139838413,182162300,234660100,299200525,377898651,473136678,587585530,724227295 %N A076460 Sum of squares of numbers that can be written as t*n + u*(n+1) for nonnegative integers t,u in exactly one way. %D A076460 Fred. Schuh, Vragen betreffende een onbepaalde vergelijking, Nieuw Tijdschrift voor Wiskunde, 52 (1964-1965) 193-198. %H A076460 Vincenzo Librandi, <a href="/A076460/b076460.txt">Table of n, a(n) for n = 1..1000</a> %H A076460 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1). %F A076460 a(n) = n*(n+1)*(7*n^4+2*n^3-6*n^2-n+1)/6. %F A076460 G.f.: x*(1+96*x+430*x^2+288*x^3+25*x^4)/(1-x)^7. %p A076460 seq(1/6*n*(n+1)*(7*n^4+2*n^3-6*n^2-n+1),n=1..30); %t A076460 CoefficientList[Series[(1 + 96 x + 430 x^2 + 288 x^3 + 25 x^4)/(1 - x)^7, {x, 0, 50}], x] (* _Vincenzo Librandi_, Dec 30 2013 *) %t A076460 LinearRecurrence[{7,-21,35,-35,21,-7,1},{1,103,1130,6070,22355,64981,160468},30] (* _Harvey P. Dale_, Jul 04 2025 *) %o A076460 (Magma) [n*(n+1)*(7*n^4+2*n^3-6*n^2-n+1)/6: n in [1..50]]; // _Vincenzo Librandi_, Dec 30 2013 %Y A076460 Cf. A076389, A076461-A076465. %K A076460 easy,nonn %O A076460 1,2 %A A076460 _Floor van Lamoen_, Oct 13 2002 %E A076460 More terms from _Vincenzo Librandi_, Dec 30 2013