cp's OEIS Frontend

A205549 Symmetric matrix by antidiagonals: C(max(i+2,j+2),min(i+2,j+2)), i>=1, j>=1.

%I A205549 #5 Mar 30 2012 18:58:11
%S A205549 1,4,4,10,1,10,20,5,5,20,35,15,1,15,35,56,35,6,6,35,56,84,70,21,1,21,
%T A205549 70,84,120,126,56,7,7,56,126,120,165,210,126,28,1,28,126,210,165,220,
%U A205549 330,252,84,8,8,84,252,330,220,286,495,462,210,36,1,36,210,462
%N A205549 Symmetric matrix by antidiagonals: C(max(i+2,j+2),min(i+2,j+2)), i>=1, j>=1.
%e A205549 Northwest corner:
%e A205549 1....4....10...20...35
%e A205549 4....1....5....15...35
%e A205549 10...5....1....6....21
%e A205549 20...15...6....1....7
%t A205549 g[k_] := k + 2;
%t A205549 f[i_, j_] := Binomial[Max[g[i], g[j]], Min[g[i], g[j]]]
%t A205549 TableForm[Table[f[i, j], {i, 1, 10}, {j, 1, 10}]]
%t A205549 Flatten[Table[f[i, n + 1 - i], {n, 1, 14}, {i, 1, n}]]
%Y A205549 Cf. A205456, A205548.
%K A205549 nonn,tabl
%O A205549 1,2
%A A205549 _Clark Kimberling_, Jan 28 2012