A318397 - OEIS

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A318397

Triangle read by rows: T(n,k) = binomial(n,k)^2 * binomial(2*(n-k), n-k).

1, 2, 1, 6, 8, 1, 20, 54, 18, 1, 70, 320, 216, 32, 1, 252, 1750, 2000, 600, 50, 1, 924, 9072, 15750, 8000, 1350, 72, 1, 3432, 45276, 111132, 85750, 24500, 2646, 98, 1, 12870, 219648, 724416, 790272, 343000, 62720, 4704, 128, 1, 48620, 1042470, 4447872, 6519744, 4000752, 1111320, 141120, 7776, 162, 1

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

OFFSET

0,2

COMMENTS

The square of the triangular matrix {binomial(n, k)^2}_{k=0..n} A008459 read by rows.

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Triangle begins:

2 1

6 8 1

20 54 18 1