cp's OEIS Frontend

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.

A324937 Triangle read by rows: T(n, k) = 2*n*k + n + k - 8.

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%I A324937 #18 Jul 30 2025 09:45:32
%S A324937 -4,-1,4,2,9,16,5,14,23,32,8,19,30,41,52,11,24,37,50,63,76,14,29,44,
%T A324937 59,74,89,104,17,34,51,68,85,102,119,136,20,39,58,77,96,115,134,153,
%U A324937 172,23,44,65,86,107,128,149,170,191,212,26,49,72,95,118,141,164,187,210,233,256
%N A324937 Triangle read by rows: T(n, k) = 2*n*k + n + k - 8.
%F A324937 G.f.: x*y*(9*x^3*y^2 - 4*x^2*y*(5 + 2*y) + x*(7 + 16*y) - 4)/((1 - x)^2*(1 - x*y)^3). - _Stefano Spezia_, Jul 29 2025
%e A324937 Triangle begins:
%e A324937   -4;
%e A324937   -1, 4;
%e A324937    2, 9,  16;
%e A324937    5, 14, 23, 32;
%e A324937    8, 19, 30, 41, 52;
%e A324937   11, 24, 37, 50, 63, 76;
%e A324937   14, 29, 44, 59, 74, 89,  104;
%e A324937   17, 34, 51, 68, 85, 102, 119, 136;
%e A324937   20, 39, 58, 77, 96, 115, 134, 153, 172;  etc.
%t A324937 t[n_, k_]:=2 n k + n + k - 8; Table[t[n, k], {n, 11}, {k, n}]//Flatten
%o A324937 (Magma) [2*n*k+n+k-8: k in [1..n], n in [1..11]]; /* As triangle */ [[2*n*k+n+k-8: k in [1..n]]: n in [1.. 15]];
%Y A324937 Similar sequence T(n,k) = 2*n*k+n+k-h: A144562 (h=1); A154680 (h=2); A154684 (h=3); A155724 (h=4); A155546 (h=5); A155550 (h=6); A144670 (h=7); this sequence (h=8); A155551 (h=9).
%K A324937 tabl,sign,less
%O A324937 1,1
%A A324937 _Vincenzo Librandi_, Mar 25 2019