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Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=8*i and -8<p(i)-p(i-1)<=8
1

%I #3 Mar 31 2012 12:35:48

%S 1,9,116,1611,23354,346392,5215708,79355229,1216613579,18760964625,

%T 290630582210,4518800966943,70471597046192,1101783607336424,

%U 17262385062541884,270952977605157692,4259594371932890237

%N Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=8*i and -8<p(i)-p(i-1)<=8

%C Paths down a n-high staggered-grid minimally right-leaning right triangle with interior neighbor fanout 2*8

%C Column 8 of A180915

%H R. H. Hardin, <a href="/A180913/b180913.txt">Table of n, a(n) for n=1..100</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 23 2010