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 A176860 #5 Feb 07 2021 21:07:55 %S A176860 1,8,-2,81,-48,3,1024,-972,192,-4,15625,-20480,7290,-640,5,279936, %T A176860 -468750,245760,-43740,1920,-6,5764801,-11757312,8203125,-2293760, %U A176860 229635,-5376,7,134217728,-322828856,282175488,-109375000,18350080,-1102248,14336,-8 %N A176860 Triangle, read by rows, T(n, k) = (-1)^k * (n-k+1)^(n+2) * binomial(n+1, k). %D A176860 F. S. Roberts, Applied Combinatorics, Prentice-Hall, 1984, p. 576 and 267. %H A176860 G. C. Greubel, <a href="/A176860/b176860.txt">Rows n = 0..100 of the triangle, flattened</a> %F A176860 T(n, k) = (-1)^k * (n-k+1)^(n+2) * binomial(n+1, k). %F A176860 Sum_{k=0..n} T(n, k) = (n + 1)*(n + 2)!/2 = A001286(n+2). - _G. C. Greubel_, Feb 07 2021 %e A176860 Triangle begins as: %e A176860 1; %e A176860 8, -2; %e A176860 81, -48, 3; %e A176860 1024, -972, 192, -4; %e A176860 15625, -20480, 7290, -640, 5; %e A176860 279936, -468750, 245760, -43740, 1920, -6; %e A176860 5764801, -11757312, 8203125, -2293760, 229635, -5376, 7; %e A176860 134217728, -322828856, 282175488, -109375000, 18350080, -1102248, 14336, -8; %t A176860 T[n_, k_]:= (-1)^k*(n-k+1)^(n+2)*Binomial[n+1, k]; %t A176860 Table[T[n,k], {n,0,12}, {k,0,n}]//Flatten %o A176860 (Sage) flatten([[ (-1)^k*(n-k+1)^(n+2)*binomial(n+1,k) for k in (0..n)] for n in (0..12)]) # _G. C. Greubel_, Feb 07 2021 %o A176860 (Magma) [(-1)^k*(n-k+1)^(n+2)*Binomial(n+1,k): k in [0..n], n in [0..12]]; // _G. C. Greubel_, Feb 07 2021 %Y A176860 Cf. A001286. %K A176860 sign,tabl %O A176860 0,2 %A A176860 _Roger L. Bagula_, Apr 27 2010 %E A176860 Edited by _G. C. Greubel_, Feb 07 2021