A316677 Number of paths from {0}^n to {n}^n that always move closer to {n}^n.

1, 1, 26, 64324, 44418808968, 16811849850663255376, 5739186280165988958118118964128, 2625335736940471293251942853564104852964163648, 2236038557448505001455717540438942031299017768147674692322230400

Offset: 0

Author

Alois P. Heinz, Jul 10 2018

Keywords

• nonn
• walk

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..25

Crossrefs

Main diagonal of A316674.

Cf. A011782, A262810.

Formula

a(n) = A316674(n,n).

a(n) = A262810(n) * ceiling(2^(n-1)) = A262810(n) * A011782(n).