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 A173476 #5 Feb 19 2021 18:34:45 %S A173476 1,1,1,2,1,2,26,2,2,26,530,26,1,26,530,14162,530,17,17,530,14162, %T A173476 516962,14162,485,1,485,14162,516962,25391522,516962,13925,325,325, %U A173476 13925,516962,25391522,1625621762,25391522,515525,12997,1,12997,515525,25391522,1625621762 %N A173476 Triangle T(n, k) = 1 + (k!)^2 - 2*k!*(n-k)! + ((n-k)!)^2, read by rows. %H A173476 G. C. Greubel, <a href="/A173476/b173476.txt">Rows n = 0..100 of the triangle, flattened</a> %F A173476 T(n, k) = 1 + ( (n-k)! - k! )^2. %F A173476 Sum_{k=0..n} T(n, k) = 1 + n + 2*A061062(n) - 2*A003149(n). - _G. C. Greubel_, Feb 19 2021 %e A173476 Triangle begins as: %e A173476 1; %e A173476 1, 1; %e A173476 2, 1, 2; %e A173476 26, 2, 2, 26; %e A173476 530, 26, 1, 26, 530; %e A173476 14162, 530, 17, 17, 530, 14162; %e A173476 516962, 14162, 485, 1, 485, 14162, 516962; %e A173476 25391522, 516962, 13925, 325, 325, 13925, 516962, 25391522; %e A173476 1625621762, 25391522, 515525, 12997, 1, 12997, 515525, 25391522, 1625621762; %t A173476 Table[((n-k)! -k!)^2 +1, {n,0,12}, {k,0,n}]//Flatten (* modified by _G. C. Greubel_, Feb 19 2021 *) %o A173476 (Sage) flatten([[(factorial(n-k) -factorial(k))^2 +1 for k in (0..n)] for n in (0..12)]) # _G. C. Greubel_, Feb 19 2021 %o A173476 (Magma) [(Factorial(n-k) -Factorial(k))^2 +1: k in [0..n], n in [0..12]]; // _G. C. Greubel_, Feb 19 2021 %Y A173476 Cf. A003149, A061062. %K A173476 nonn,tabl %O A173476 0,4 %A A173476 _Roger L. Bagula_, Feb 19 2010 %E A173476 Edited by _G. C. Greubel_, Feb 19 2021