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A224574 Number of (n+5) X 10 0..1 matrices with each 6 X 6 subblock idempotent. 1
22096, 7034, 7295, 8143, 8880, 9480, 9946, 11672, 14594, 18457, 22982, 27995, 33345, 40295, 50032, 63512, 81392, 104167, 132157, 166965, 211369, 269127, 344634, 442792, 568799, 729476, 934410, 1196970, 1534900, 1970858, 2532676, 3255027 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A224577.

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) + 3*a(n-3) + 3*a(n-4) - 6*a(n-5) + 5*a(n-6) - 4*a(n-7) + 3*a(n-8) - 3*a(n-10) + 3*a(n-11) - a(n-12) for n>16.

Empirical g.f.: x*(22096 - 81350*x + 111735*x^2 - 45121*x^3 - 67312*x^4 + 112407*x^5 - 89284*x^6 + 74683*x^7 - 53267*x^8 - 7522*x^9 + 61319*x^10 - 53808*x^11 + 14565*x^12 + 694*x^13 + 119*x^14 + 44*x^15) / ((1 - x)^3*(1 + x)*(1 - x + x^2)*(1 - x - x^6)). - Colin Barker, Sep 01 2018

EXAMPLE

Some solutions for n=2:

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

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

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

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

..0..0..0..0..0..0..0..0..0..0....0..0..0..0..0..0..0..0..0..0

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

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

CROSSREFS

Cf. A224577.

Sequence in context: A045133 A049535 A091459 * A232861 A250672 A062564

Adjacent sequences:  A224571 A224572 A224573 * A224575 A224576 A224577

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 10 2013

STATUS

approved

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Last modified June 13 11:17 EDT 2021. Contains 344990 sequences. (Running on oeis4.)