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A096037 Triangle T(n,m) = (3*n+3*m-2)*(n+1-m)/2 read by rows.

%I A096037 #13 May 16 2021 12:16:57
%S A096037 2,7,5,15,13,8,26,24,19,11,40,38,33,25,14,57,55,50,42,31,17,77,75,70,
%T A096037 62,51,37,20,100,98,93,85,74,60,43,23,126,124,119,111,100,86,69,49,26,
%U A096037 155,153,148,140,129,115,98,78,55,29,187,185,180,172,161,147,130,110,87,61,32
%N A096037 Triangle T(n,m) = (3*n+3*m-2)*(n+1-m)/2 read by rows.
%F A096037 T(n,m) = (3*n+3*m-2)*(n+1-m)/2 .
%F A096037 T(n,m) = A094930(n,m)/(3*m-1).
%F A096037 T(n,1) = A005449(n).
%F A096037 T(n,n) = A016768(n-1).
%F A096037 Row sums: sum_{m=1..n} T(n,m) = n^2*(n+1) = A011379(n).
%e A096037 The triangle starts in row n=1 as
%e A096037 2;
%e A096037 7,5;
%e A096037 15,13,8;
%e A096037 26,24,19,11;
%o A096037 (Python)
%o A096037 def A096037(n,m):
%o A096037     return (3*n+3*m-2)*(n+1-m)//2
%o A096037 print( [A096037(n,m) for n in range(20) for m in range(1,n+1)] )
%o A096037 # _R. J. Mathar_, Oct 11 2009
%Y A096037 Cf. A094930, A024212, A011379, A002411, A096038, A095794.
%K A096037 nonn,easy,tabl
%O A096037 1,1
%A A096037 _Gary W. Adamson_, Jun 17 2004
%E A096037 Edited and extended, A-numbers corrected by _R. J. Mathar_, Oct 11 2009