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A262240 T(n,k) = Number of (n+3) X (k+3) 0..1 arrays with each row and column divisible by 11, read as a binary number with top and left being the most significant bits. 5
2, 3, 3, 6, 5, 6, 12, 13, 13, 12, 24, 31, 60, 31, 24, 47, 85, 238, 238, 85, 47, 94, 223, 1148, 1306, 1148, 223, 94, 187, 669, 5057, 10747, 10747, 5057, 669, 187, 373, 1733, 26546, 77490, 164087, 77490, 26546, 1733, 373, 745, 4805, 110661, 778464, 2091976 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...2.....3......6......12.......24.......47.......94.......187......373.....745

...3.....5.....13......31.......85......223......669......1733.....4805...13777

...6....13.....60.....238.....1148.....5057....26546....110661...511785.2491813

..12....31....238....1306....10747....77490...778464...4345849.31098659

..24....85...1148...10747...164087..2091976.40276976.430768569

..47...223...5057...77490..2091976.45391152

..94...669..26546..778464.40276976

.187..1733.110661.4345849

.373..4805.511785

.745.13777

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -2*a(n-2) -a(n-5) +3*a(n-6) -2*a(n-7).

k=2: [order 29].

EXAMPLE

Some solutions for n=5, k=4

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

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A186286 A023821 A262332 * A333660 A187754 A347732

Adjacent sequences:  A262237 A262238 A262239 * A262241 A262242 A262243

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Sep 15 2015

STATUS

approved

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Last modified September 30 09:26 EDT 2022. Contains 357104 sequences. (Running on oeis4.)