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%I #17 Mar 12 2014 16:37:17
%S 1,1,1,1,924,1,1,18564,18564,1,1,134596,2704156,134596,1,1,593775,
%T 86493225,86493225,593775,1,1,1947792,1251677700,9075135300,
%U 1251677700,1947792,1,1,5245786,11058116888,353697121050,353697121050,11058116888,5245786,1
%N Triangle binomial(6*n,6*m), 0 <= m <= n, read by rows.
%C Row sums are A070967. k=6 in binomial(k*n,k*m) sequence similar to k=2 in A086645, k=4 in A070775,...
%F Left-right symmetric: binomial(6*n,6*m) = binomial(6*n,6*(n-m)).
%e 1;
%e 1, 1;
%e 1, 924, 1;
%e 1, 18564, 18564, 1;
%e 1, 134596, 2704156, 134596, 1;
%e 1, 593775, 86493225, 86493225, 593775, 1;
%t t[n_, m_] := Binomial[n, 6*m]; Flatten@Table[Table[t[n, m], {m, 0, n/6}], {n, 0, 42, 6}]
%Y Cf. A034839, A177808, A139459, A070782, A177809, A070967.
%K nonn,tabl
%O 0,5
%A _Roger L. Bagula_, Dec 13 2010