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 A233207 #9 Nov 04 2024 03:22:15 %S A233207 0,0,2,0,6,4,0,10,12,6,0,14,20,18,8,0,18,28,30,24,10,0,22,36,42,40,30, %T A233207 12,0,26,44,54,56,50,36,14,0,30,52,66,72,70,60,42,16,0,34,60,78,88,90, %U A233207 84,70,48,18,0,38,68,90,104,110,108,98,80,54,20,0,42,76,102 %N A233207 Triangle T(n,k), read by rows, given by T(n+k,k)=2*k*(2*n+1). %C A233207 Row sums are A006331(n). %C A233207 Diagonal sums are A212964(n+1). %C A233207 T(2n,n)=A002943(n). %F A233207 T(n+k,k) = A005843(k)*A005408(n). %F A233207 Sum_{k=0..n} T(n,k) = n*(n+1)*(2*n+1)/3 = A006331(n). %e A233207 Triangle begins: %e A233207 0 %e A233207 0, 2 %e A233207 0, 6, 4 %e A233207 0, 10, 12, 6 %e A233207 0, 14, 20, 18, 8 %e A233207 0, 18, 28, 30, 24, 10 %Y A233207 Cf. columns: A000004, A016825, A017113, A017593, A051062, 10*A005408, A073762. %Y A233207 Cf. diagonals: A005843, A008588, A008592, A008596, A008600, A008604. %K A233207 nonn,tabl,easy %O A233207 0,3 %A A233207 _Philippe Deléham_, Dec 05 2013