A205553 - OEIS

A205553

Square array by antidiagonals: C(max(i-1,2j-2),min(i-1,2j-2)), i>=1, j>=1.

1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 6, 6, 3, 1, 1, 8, 15, 4, 6, 1, 1, 10, 28, 20, 1, 10, 1, 1, 12, 45, 56, 15, 5, 15, 1, 1, 14, 66, 120, 70, 6, 15, 21, 1, 1, 16, 91, 220, 210, 56, 1, 35, 28, 1, 1, 18, 120, 364, 495, 252, 28, 7, 70, 36, 1, 1, 20, 153, 560, 1001, 792, 210, 8

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OFFSET

1,5

LINKS

Table of n, a(n) for n=1..74.

Milan Janjic, Binomial Coefficients and Enumeration of Restricted Words, Journal of Integer Sequences, 2016, Vol 19, #16.7.3

EXAMPLE

Northwest corner:

1....1....1....1....1

1....2....4....6....8

1....1....6....15...28

1....3....4....20...56