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A227659 Number of lattice paths from {5}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.

%I A227659 #6 Jul 19 2013 16:42:56
%S A227659 1,1,32,16936,48447504,482913033152,12981179566917088,
%T A227659 796655971557156062816,99184884676523895557447104,
%U A227659 22936896882912935631904962898880,9200010705455824278689045306643126144,6059192105645758114515721403170312097489088,6265311017439732830154018479087530633271635314944
%N A227659 Number of lattice paths from {5}^n to {0}^n using steps that decrement one component by 1 such that for each point (p_1,p_2,...,p_n) we have abs(p_{i}-p_{i+1}) <= 1.
%e A227659 a(2) = 2^5 = 32:
%e A227659 .     (4,5)       (3,4)       (2,3)       (1,2)       (0,1)
%e A227659 .    /     \     /     \     /     \     /     \     /     \
%e A227659 (5,5)       (4,4)       (3,3)       (2,2)       (1,1)       (0,0)
%e A227659 .    \     /     \     /     \     /     \     /     \     /
%e A227659 .     (5,4)       (4,3)       (3,2)       (2,1)       (1,0)
%Y A227659 Row n=5 of A227655.
%Y A227659 Cf. A000079.
%K A227659 nonn
%O A227659 0,3
%A A227659 _Alois P. Heinz_, Jul 19 2013