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%I #2 Mar 30 2012 18:51:33
%S 1,1,1,1,2,1,3,2,3,1,5,4,4,4,1,7,9,6,7,5,1,15,14,14,10,11,6,1,29,25,
%T 26,21,17,16,7,1,49,52,44,44,32,28,22,8,1,95,95,88,78,70,50,44,29,9,1,
%U 187,174,173,148,134,108,79,66,37,10,1,345,344,319,299,250,221,165,124,95
%N Triangle T(n,m) with T(n,m)=T(n-1,|m-1|)+T(n-1,m)+T(n-1,m+1)-2T(n-2,m) and T(0,0)=1.
%D B. A. Bondarenko, Generalized Pascal Triangles and Pyramids (in Russian), FAN, Tashkent, 1990, ISBN 5-648-00738-8. English translation published by Fibonacci Association, Santa Clara Univ., Santa Clara, CA, 1993; see p. 44.
%e T(4,3)=T(3,2)+T(3,3)+T(3,4)-2*T(2,3)=3+1+0-2*0=4. T(5,0)=T(4,1)+T(4,0)+T(4,1)-2*T(3,0)=4+5+4-2*3=7. Rows are: (1), (1,1), (1,2,1), (3,2,3,1), (5,4,4,4,1), ...
%Y Half of a generalized Pascal triangle of order 3: A059780. Diagonals include A000012, A000027, A000124, A060163.
%K easy,nonn,tabl
%O 0,5
%A _Henry Bottomley_, Mar 13 2001
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