Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #5 Jul 19 2013 17:16:02
%S 1,40320,8201380224,1850957806329280,427196257460311066608,
%T 99184884676523895557447104,23066495371480810626495005438496,
%U 5366698074745901061777599023075846976,1248760044848501400078426452469652899962528,290576954131557518350262914717217159752148225600
%N Number of lattice paths from {n}^8 to {0}^8 using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_8) we have abs(p_{i}-p_{i+1}) <= 1.
%H Alois P. Heinz, <a href="/A227670/b227670.txt">Table of n, a(n) for n = 0..100</a>
%e a(1) = 8! = 40320.
%Y Column k=8 of A227655.
%Y Cf. A000142.
%K nonn
%O 0,2
%A _Alois P. Heinz_, Jul 19 2013