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 A132370 #9 Jan 02 2023 16:49:28 %S A132370 16,34,34,58,68,58,88,112,112,88,124,166,180,166,124,166,230,262,262, %T A132370 230,166,214,304,358,376,358,304,214,268,388,468,508,508,468,388,268, %U A132370 328,482,592,658,680,658,592,482,328,394,586,730,826,874,874,826,730,586,394 %N A132370 Array read by antidiagonals: T(m,n) = number of spotlight tilings of a width 1 m X n frame. %H A132370 Andrew Howroyd, <a href="/A132370/b132370.txt">Table of n, a(n) for n = 3..1277</a> (first 50 antidiagonals) %H A132370 B. E. Tenner, <a href="http://dx.doi.org/10.1007/s00026-011-0077-6">Spotlight tiling</a>, Ann. Combin. 14 (4) (2010) 553; <a href="https://arxiv.org/abs/0711.1819">arXiv preprint</a>, arXiv:0711.1819 [math.CO], 2007-2008. %F A132370 T(m,n) = 2*(m-2)*(n-2)*(m+n-2) + (m-2)*(m+1) + (n-2)*(n+1). %e A132370 A 3 X 3 frame with width 1 has 16 spotlight tilings. %e A132370 Array begins: %e A132370 =============================================== %e A132370 m/n | 3 4 5 6 7 8 9 10 ... %e A132370 -----+----------------------------------------- %e A132370 3 | 16 34 58 88 124 166 214 268 ... %e A132370 4 | 34 68 112 166 230 304 388 482 ... %e A132370 5 | 58 112 180 262 358 468 592 730 ... %e A132370 6 | 88 166 262 376 508 658 826 1012 ... %e A132370 7 | 124 230 358 508 680 874 1090 1328 ... %e A132370 8 | 166 304 468 658 874 1116 1384 1678 ... %e A132370 9 | 214 388 592 826 1090 1384 1708 2062 ... %e A132370 10 | 268 482 730 1012 1328 1678 2062 2480 ... %e A132370 ... %o A132370 (PARI) T(m,n) = 2*(m-2)*(n-2)*(m+n-2) + (m-2)*(m+1) + (n-2)*(n+1) \\ _Andrew Howroyd_, Jan 02 2023 %Y A132370 Cf. A051597, A051601. %K A132370 nonn,tabl %O A132370 3,1 %A A132370 _Bridget Tenner_, Nov 09 2007 %E A132370 Terms a(31) and beyond from _Andrew Howroyd_, Jan 02 2023