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A177810 Triangle binomial(6*n,6*m), 0 <= m <= n, read by rows. 0
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 (list; table; graph; refs; listen; history; text; internal format)
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: A232732 A228673 A268849 * A119396 A121943 A024750

Adjacent sequences:  A177807 A177808 A177809 * A177811 A177812 A177813

KEYWORD

nonn,tabl

AUTHOR

Roger L. Bagula, Dec 13 2010

STATUS

approved

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Last modified September 18 06:07 EDT 2021. Contains 347509 sequences. (Running on oeis4.)