A260419 - OEIS

A260419

Square array T(n,m) read by antidiagonals, T(n,m) is the number of (m,n)-parking functions.

1, 1, 1, 1, 3, 1, 1, 3, 4, 1, 1, 5, 16, 11, 1, 1, 5, 16, 27, 16, 1, 1, 7, 25, 125, 81, 42, 1, 1, 7, 49, 125, 256, 378, 64, 1, 1, 9, 49, 243, 1296, 1184, 729, 163, 1, 1, 9, 64, 343, 1296, 3125, 4096, 2187, 256, 1, 1, 11, 100, 729, 2401, 16807, 15625, 27213, 9529, 638, 1

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OFFSET

1,5

COMMENTS

T(n,2) appears to be A027306(n).

LINKS

Alois P. Heinz, Antidiagonals n = 1..141, flattened

Jean-Christophe Aval, François Bergeron, Interlaced rectangular parking functions, arXiv:1503.03991 [math.CO], 2015.

FORMULA

T(n,m) = m^(n-1), if m and n are coprime (see Lemma in Aval & Bergeron link).

EXAMPLE

Table starts (see Table 1 in Aval & Bergeron link):