A361949 - OEIS

A361949

Triangle read by rows. T(n, k) = binomial(3*n - 1, 3*k - 1).

1, 10, 1, 28, 56, 1, 55, 462, 165, 1, 91, 2002, 3003, 364, 1, 136, 6188, 24310, 12376, 680, 1, 190, 15504, 125970, 167960, 38760, 1140, 1, 253, 33649, 490314, 1352078, 817190, 100947, 1771, 1, 325, 65780, 1562275, 7726160, 9657700, 3124550, 230230, 2600, 1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..45.

EXAMPLE

Table T(n, k) starts:

[1] 1;

[2] 10, 1;

[3] 28, 56, 1;

[4] 55, 462, 165, 1;

[5] 91, 2002, 3003, 364, 1;

[6] 136, 6188, 24310, 12376, 680, 1;

[7] 190, 15504, 125970, 167960, 38760, 1140, 1;

[8] 253, 33649, 490314, 1352078, 817190, 100947, 1771, 1;

[9] 325, 65780, 1562275, 7726160, 9657700, 3124550, 230230, 2600, 1.

MAPLE

T := (n, k) -> binomial(3*n - 1, 3*k - 1):

seq(print(seq(T(n, k), k = 1..n)), n = 1..8);

CROSSREFS

Cf. A082365 (row sums), A228888 (subdiagonal), A060544 (column 1), A066802 (central column).

Sequence in context: A050999 A223450 A221311 * A070246 A085044 A215268

Adjacent sequences: A361946 A361947 A361948 * A361950 A361951 A361952

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Mar 31 2023

STATUS

approved