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A262466 Number of (n+1) X (2+1) 0..1 arrays with each row divisible by 3 and each column divisible by 5, read as a binary number with top and left being the most significant bits. 2
1, 3, 9, 17, 37, 107, 321, 865, 2449, 7299, 21897, 64625, 192277, 576299, 1728897, 5174977, 15507361, 46516227, 139548681, 418517201, 1255358341, 3766010603, 11298031809, 33892678177, 101675908657, 305027017347, 915081052041 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 2 of A262472.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) - 4*a(n-2) + 4*a(n-3) + 8*a(n-4) - 44*a(n-5) + 44*a(n-6) - 44*a(n-7) + 33*a(n-8).

Empirical g.f.: x*(1 - x + x^2 - 11*x^3 - 15*x^4 + 11*x^5 - 11*x^6 + 33*x^7) / ((1 - x)*(1 - 3*x)*(1 + x^2)*(1 - 11*x^4)). - Colin Barker, Mar 20 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Cf. A262472.

Sequence in context: A116688 A293423 A011755 * A128301 A176148 A206701

Adjacent sequences:  A262463 A262464 A262465 * A262467 A262468 A262469

KEYWORD

nonn

AUTHOR

R. H. Hardin, Sep 23 2015

STATUS

approved

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Last modified April 6 08:27 EDT 2020. Contains 333268 sequences. (Running on oeis4.)