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A224604 Number of (n+2) X 8 0..2 matrices with each 3 X 3 subblock idempotent. 1
1045, 894, 1086, 1247, 1609, 2092, 2656, 3497, 4731, 6434, 8878, 12451, 17617, 25112, 36060, 52049, 75403, 109570, 159586, 232811, 340053, 497156, 727324, 1064569, 1558747, 2282918, 3344154, 4899383, 7178593, 10518844, 15414124, 22588409 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A224606.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) - 6*a(n-2) + 5*a(n-3) - 4*a(n-4) + 3*a(n-5) - a(n-6) for n>8.

Empirical g.f.: x*(1045 - 3286*x + 3780*x^2 - 2958*x^3 + 2847*x^4 - 1851*x^5 + 414*x^6 + 4*x^7) / ((1 - x)^3*(1 - x - x^3)). - Colin Barker, Sep 02 2018

EXAMPLE

Some solutions for n=3:

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

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

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

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

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

CROSSREFS

Cf. A224606.

Sequence in context: A231112 A213811 A260205 * A045027 A324320 A334012

Adjacent sequences:  A224601 A224602 A224603 * A224605 A224606 A224607

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 11 2013

STATUS

approved

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Last modified June 15 11:22 EDT 2021. Contains 345048 sequences. (Running on oeis4.)