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A227662 Number of lattice paths from {8}^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. 1

%I #4 Jul 19 2013 18:45:17

%S 1,1,256,6520712,2616540574496,7962224756951452544,

%T 120712076511505386344017520,6941648177366735193973359263017216,

%U 1248760044848501400078426452469652899962528,608787871679690303320891056934368872583827110376320

%N Number of lattice paths from {8}^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 a(2) = 2^8 = 256.

%Y Row n=8 of A227655.

%Y Cf. A000079.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Jul 19 2013

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Last modified April 20 03:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)