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Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=5*i and -5<p(i)-p(i-1)<=5
1

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

%S 1,6,50,444,4095,38532,367322,3533112,34204975,332775412,3249900751,

%T 31835316002,312622943953,3076226193598,30321954730777,

%U 299312070501364,2958208307116218,29268288065205160,289847587059195157

%N Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=5*i and -5<p(i)-p(i-1)<=5

%C Paths down a n-high staggered-grid minimally right-leaning right triangle with interior neighbor fanout 2*5

%C Column 5 of A180915

%H R. H. Hardin, <a href="/A180910/b180910.txt">Table of n, a(n) for n=1..100</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 23 2010