A262426 - OEIS

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.

170, 1404, 371790, 25901100, 4856629870, 655089996204, 114043973318270, 18287074397509740, 3127153221958277070, 523889166822421058604, 89191893222477653902750, 15107199317712023101414380

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OFFSET

1,1

COMMENTS

Row 7 of A262420.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

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)

EXAMPLE

Some solutions for n=2

..1..1..0....0..0..0....1..1..0....1..1..0....0..1..1....0..1..1....0..1..1

..1..1..0....0..0..0....0..1..1....0..1..1....0..1..1....0..0..0....0..1..1

..0..1..1....0..1..1....1..1..0....0..1..1....0..0..0....0..0..0....1..1..0

..0..0..0....1..1..0....0..1..1....1..1..0....1..1..0....1..1..0....0..0..0

..0..0..0....0..1..1....1..1..0....0..1..1....0..1..1....0..0..0....0..1..1

..0..0..0....0..1..1....0..0..0....1..1..0....0..1..1....0..1..1....0..1..1

..1..1..0....0..1..1....1..1..0....0..0..0....0..0..0....0..0..0....1..1..0

..0..0..0....0..0..0....0..0..0....1..1..0....0..1..1....0..1..1....0..1..1

CROSSREFS

Cf. A262420.