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 A056834 #23 Mar 03 2022 13:05:32 %S A056834 0,0,0,1,2,3,5,7,9,11,14,17,20,24,28,32,36,41,46,51,57,63,69,75,82,89, %T A056834 96,104,112,120,128,137,146,155,165,175,185,195,206,217,228,240,252, %U A056834 264,276,289,302,315,329,343,357,371,386,401,416,432,448 %N A056834 a(n) = floor(n^2/7). %H A056834 Vincenzo Librandi, <a href="/A056834/b056834.txt">Table of n, a(n) for n = 0..1000</a> %H A056834 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,0,0,0,0,1,-2,1). %F A056834 a(n) = +2*a(n-1) -a(n-2) +a(n-7) -2*a(n-8) +a(n-9). %F A056834 G.f.: -x^3*(1+x)*(x^2-x+1) / ( (x^6+x^5+x^4+x^3+x^2+x+1)*(x-1)^3 ). %t A056834 Floor[(Range[0,60]^2)/7] (* or *) LinearRecurrence[{2,-1,0,0,0,0,1,-2,1},{0,0,0,1,2,3,5,7,9},60] (* _Harvey P. Dale_, Jul 21 2014 *) %t A056834 CoefficientList[Series[-x^3 (1 + x) (x^2 - x + 1)/((x^6 + x^5 + x^4 + x^3 + x^2 + x + 1) (x - 1)^3), {x, 0, 100}], x] (* _Vincenzo Librandi_, Jul 22 2014 *) %o A056834 (PARI) a(n) = n^2\7; \\ _Michel Marcus_, Mar 03 2022 %Y A056834 Cf. A000290, A007590, A000212, A002620, A118015, A056827, A130519, A056838, A056865. %K A056834 nonn,easy %O A056834 0,5 %A A056834 _N. J. A. Sloane_, Sep 02 2000