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Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=6*i and |p(i)-p(i-1)|<=6
1

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

%S 1,7,70,763,8715,102221,1220268,14749175,179930563,2210840169,

%T 27320772214,339198895902,4227660547195,52864983381874,

%U 662907897706177,8332812488242325,104966459288054037,1324710070914750097

%N Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=6*i and |p(i)-p(i-1)|<=6

%C Paths down a n-high rectangular-grid right triangle with interior neighbor fanout 2*6+1

%C Column 6 of A180906

%H R. H. Hardin, <a href="/A180902/b180902.txt">Table of n, a(n) for n=1..100</a>

%K nonn

%O 1,2

%A _R. H. Hardin_ Sep 23 2010