A227669 Number of lattice paths from {n}^7 to {0}^7 using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_7) we have abs(p_{i}-p_{i+1}) <= 1.

1, 5040, 93770800, 1891074940160, 38746316631586896, 796655971557156062816, 16391903881902996952724768, 337320253484345016223956919936, 6941648177366735193973359263017216, 142850870919946441196223189856661775872, 2939698583689917131062885788617101100432640

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..150

Example

a(1) = 7! = 5040.

Crossrefs

Column k=7 of A227655.

Cf. A000142.

Sequence in context: A221437 A221622 A318714 * A010800 A172544 A287083

Adjacent sequences: A227666 A227667 A227668 * A227670 A227671 A227672

Keyword

nonn

Author

Alois P. Heinz, Jul 19 2013

Status

approved