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A262753 Number of (n+2) X (2+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits. 1
4, 9, 25, 100, 361, 1369, 5476, 21609, 85849, 343396, 1371241, 5480281, 21921124, 87665769, 350625625, 1402502500, 5609860201, 22439141209, 89756564836, 359025060969, 1436097847129, 5744391388516, 22977555967081, 91910204694361 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) + 9*a(n-3) - 36*a(n-4) - 8*a(n-6) + 32*a(n-7).

Empirical g.f.: x*(4 - 7*x - 11*x^2 - 36*x^3 + 24*x^4 + 24*x^5 + 32*x^6) / ((1 - x)*(1 - 2*x)*(1 - 4*x)*(1 + x + x^2)*(1 + 2*x + 4*x^2)). - Colin Barker, Dec 31 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

CROSSREFS

Column 2 of A262759.

Sequence in context: A220444 A117678 A167045 * A055851 A025494 A087374

Adjacent sequences:  A262750 A262751 A262752 * A262754 A262755 A262756

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 30 2015

STATUS

approved

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Last modified January 19 04:49 EST 2021. Contains 340263 sequences. (Running on oeis4.)