A227672 Number of lattice paths from {n}^10 to {0}^10 using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_10) we have abs(p_{i}-p_{i+1}) <= 1.

1, 3628800, 126651310675680, 5140671157605632743040, 216245142312150285990621189096, 9200010705455824278689045306643126144, 392997779138060823651445903318712755280168960, 16812841813975825541536765059695075768059296587720768

Offset: 0

Author

Alois P. Heinz, Jul 19 2013

Keywords

• nonn

Examples

			a(10) = 10! = 3628800.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..50

Crossrefs

Column k=10 of A227655.

Cf. A000142.