cp's OEIS Frontend

A201380 Number of nX4 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.

%I A201380 #7 Jul 22 2025 16:12:41
%S A201380 1,7,27,121,483,1751,5694,16870,46014,116842,278837,630353,1358517,
%T A201380 2806843,5584567,10741640,20039166,36362252,64333159,111214759,
%U A201380 188207532,312302096,508868575,815256003,1285706310,1998034336,3062559792
%N A201380 Number of nX4 0..1 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other.
%C A201380 Column 4 of A201384
%H A201380 R. H. Hardin, <a href="/A201380/b201380.txt">Table of n, a(n) for n = 1..210</a>
%F A201380 Empirical: a(n) = 4*a(n-1) +a(n-2) -20*a(n-3) +4*a(n-4) +52*a(n-5) +6*a(n-6) -112*a(n-7) -64*a(n-8) +196*a(n-9) +174*a(n-10) -228*a(n-11) -325*a(n-12) +148*a(n-13) +457*a(n-14) -457*a(n-16) -148*a(n-17) +325*a(n-18) +228*a(n-19) -174*a(n-20) -196*a(n-21) +64*a(n-22) +112*a(n-23) -6*a(n-24) -52*a(n-25) -4*a(n-26) +20*a(n-27) -a(n-28) -4*a(n-29) +a(n-30)
%e A201380 Some solutions for n=9
%e A201380 ..0..0..0..1....0..0..0..1....0..0..0..1....0..0..0..0....0..0..0..0
%e A201380 ..0..0..1..1....0..0..0..1....0..0..1..1....0..0..0..1....0..0..1..1
%e A201380 ..0..1..1..0....0..0..1..0....0..0..1..1....0..1..1..0....0..1..0..0
%e A201380 ..0..1..1..0....0..1..0..1....0..0..1..1....0..1..1..0....0..1..0..1
%e A201380 ..1..0..0..0....0..1..0..1....0..1..0..1....0..1..1..0....0..1..1..0
%e A201380 ..1..0..0..1....0..1..0..1....0..1..1..0....0..1..1..1....0..1..1..1
%e A201380 ..1..1..0..0....0..1..0..1....1..0..1..0....1..0..1..1....0..1..1..1
%e A201380 ..1..1..0..1....1..1..1..0....1..0..1..0....1..1..0..0....1..0..1..1
%e A201380 ..1..1..0..1....1..1..1..1....1..0..1..1....1..1..1..0....1..1..0..0
%K A201380 nonn
%O A201380 1,2
%A A201380 _R. H. Hardin_ Nov 30 2011