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A185785 Second accumulation array of A107985, by antidiagonals.

%I A185785 #9 Jul 13 2017 22:28:44
%S A185785 1,5,5,15,24,15,35,70,70,35,70,160,200,160,70,126,315,450,450,315,126,
%T A185785 210,560,875,1000,875,560,210,330,924,1540,1925,1925,1540,924,330,495,
%U A185785 1440,2520,3360,3675,3360,2520,1440,495,715,2145,3900,5460,6370,6370,5460,3900,2145,715,1001,3080,5775,8400,10290,10976,10290,8400,5775,3080,1001
%N A185785 Second accumulation array of A107985, by antidiagonals.
%C A185785 See A185784.
%H A185785 G. C. Greubel, <a href="/A185785/b185785.txt">Table of n, a(n) for the first 50 rows, flattened</a>
%F A185785 T(n,k) = (n+k+2)*C(n+2,3)*C(k+2,3)/4, k>=1, n>=1.
%e A185785 Northwest corner:
%e A185785 1....5....15....35....70
%e A185785 5....24...70....160...315
%e A185785 15...70...200...450...875
%e A185785 35...160..450...1000..1925
%t A185785 f[n_, k_] := Binomial[k + 2, 3]*Binomial[n + 2, 3]*(n + k + 2)/4;
%t A185785 Table[f[n - k + 1, k], {n, 50}, {k, n, 1, -1}] // Flatten (* _G. C. Greubel_, Jul 12 2017 *)
%Y A185785 Cf. A185784.
%K A185785 nonn,tabl
%O A185785 1,2
%A A185785 _Clark Kimberling_, Feb 03 2011