A177810 Triangle binomial(6*n,6*m), 0 <= m <= n, read by rows.

1, 1, 1, 1, 924, 1, 1, 18564, 18564, 1, 1, 134596, 2704156, 134596, 1, 1, 593775, 86493225, 86493225, 593775, 1, 1, 1947792, 1251677700, 9075135300, 1251677700, 1947792, 1, 1, 5245786, 11058116888, 353697121050, 353697121050, 11058116888, 5245786, 1

Offset

0,5

Comments

Row sums are A070967. k=6 in binomial(k*n,k*m) sequence similar to k=2 in A086645, k=4 in A070775,...

Links

Table of n, a(n) for n=0..35.

Formula

Left-right symmetric: binomial(6*n,6*m) = binomial(6*n,6*(n-m)).

Example

1;
1, 1;
1, 924, 1;
1, 18564, 18564, 1;
1, 134596, 2704156, 134596, 1;
1, 593775, 86493225, 86493225, 593775, 1;

Mathematica

t[n_, m_] := Binomial[n, 6*m]; Flatten@Table[Table[t[n, m], {m, 0, n/6}], {n, 0, 42, 6}]

Crossrefs

Cf. A034839, A177808, A139459, A070782, A177809, A070967.

Sequence in context: A228673 A365469 A268849 * A119396 A121943 A024750

Adjacent sequences: A177807 A177808 A177809 * A177811 A177812 A177813

Keyword

nonn,tabl

Author

Roger L. Bagula, Dec 13 2010

Status

approved