cp's OEIS Frontend

A262426 Number of (7+1)X(n+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.

%I A262426 #4 Sep 22 2015 09:38:21
%S A262426 170,1404,371790,25901100,4856629870,655089996204,114043973318270,
%T A262426 18287074397509740,3127153221958277070,523889166822421058604,
%U A262426 89191893222477653902750,15107199317712023101414380
%N A262426 Number of (7+1)X(n+1) 0..1 arrays with each row divisible by 3 and column not divisible by 3, read as a binary number with top and left being the most significant bits.
%C A262426 Row 7 of A262420.
%H A262426 R. H. Hardin, <a href="/A262426/b262426.txt">Table of n, a(n) for n = 1..210</a>
%F A262426 Empirical: a(n) = 170*a(n-1) +12088*a(n-2) -2054960*a(n-3) -43463646*a(n-4) +7388819820*a(n-5) +66398454660*a(n-6) -11287737292200*a(n-7) -47263888640505*a(n-8) +8034861068885850*a(n-9) +16948827007298316*a(n-10) -2881300591240713720*a(n-11) -3142452853334937648*a(n-12) +534216985066939400160*a(n-13) +298488023933669046336*a(n-14) -50742964068723737877120*a(n-15) -13934074238604397209600*a(n-16) +2368792620562747525632000*a(n-17) +287178122770920663040000*a(n-18) -48820280871056512716800000*a(n-19) -2061386929701535744000000*a(n-20) +350435778049261076480000000*a(n-21)
%e A262426 Some solutions for n=2
%e A262426 ..1..1..0....0..0..0....1..1..0....1..1..0....0..1..1....0..1..1....0..1..1
%e A262426 ..1..1..0....0..0..0....0..1..1....0..1..1....0..1..1....0..0..0....0..1..1
%e A262426 ..0..1..1....0..1..1....1..1..0....0..1..1....0..0..0....0..0..0....1..1..0
%e A262426 ..0..0..0....1..1..0....0..1..1....1..1..0....1..1..0....1..1..0....0..0..0
%e A262426 ..0..0..0....0..1..1....1..1..0....0..1..1....0..1..1....0..0..0....0..1..1
%e A262426 ..0..0..0....0..1..1....0..0..0....1..1..0....0..1..1....0..1..1....0..1..1
%e A262426 ..1..1..0....0..1..1....1..1..0....0..0..0....0..0..0....0..0..0....1..1..0
%e A262426 ..0..0..0....0..0..0....0..0..0....1..1..0....0..1..1....0..1..1....0..1..1
%Y A262426 Cf. A262420.
%K A262426 nonn
%O A262426 1,1
%A A262426 _R. H. Hardin_, Sep 22 2015