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A224727 Number of (n+3) X 10 0..2 matrices with each 4 X 4 subblock idempotent. 1
8117, 5711, 6540, 7132, 7575, 9090, 11268, 13821, 16593, 20653, 26657, 34977, 45825, 60486, 80897, 109371, 148429, 201881, 275470, 377256, 517816, 711541, 978561, 1347070, 1855835, 2558018, 3526907, 4863988, 6709510, 9256888, 12772821 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..100

FORMULA

Empirical: a(n) = 3*a(n-1) - 2*a(n-2) - 2*a(n-3) + 4*a(n-4) - 3*a(n-5) + 2*a(n-7) - a(n-8) for n>10.

Empirical g.f.: x*(8117 - 18640*x + 5641*x^2 + 15168*x^3 - 21787*x^4 + 15216*x^5 + 4385*x^6 - 11795*x^7 + 3637*x^8 + 48*x^9) / ((1 - x)^3*(1 + x)*(1 - x - x^4)). - Colin Barker, Sep 04 2018

EXAMPLE

Some solutions for n=2:

..1..0..0..0..0..1..0..0..0..1....1..1..1..1..1..1..1..0..1..2

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

..2..0..0..0..0..1..0..0..0..2....0..0..0..0..0..0..0..0..0..0

..2..0..0..0..0..1..0..0..0..1....0..0..0..0..0..0..0..0..0..0

..1..0..0..0..0..1..0..0..0..1....1..2..1..1..1..1..1..1..1..1

CROSSREFS

Column 7 of A224728.

Sequence in context: A258541 A031588 A145657 * A163045 A069368 A068758

Adjacent sequences:  A224724 A224725 A224726 * A224728 A224729 A224730

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 16 2013

STATUS

approved

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Last modified January 28 16:48 EST 2022. Contains 350657 sequences. (Running on oeis4.)