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A224728 T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent 9
2052, 1623, 1623, 2471, 1920, 2471, 3506, 2493, 2493, 3506, 4257, 2863, 3092, 2863, 4257, 5737, 3123, 3502, 3502, 3123, 5737, 8117, 4129, 3775, 3924, 3775, 4129, 8117, 12306, 5711, 4868, 4209, 4209, 4868, 5711, 12306, 18187, 7604, 6540, 5371, 4498 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2052..1623..2471..3506..4257..5737..8117.12306.18187.26561.38040.55162.80519

..1623..1920..2493..2863..3123..4129..5711..7604..9713.12764.17344.23754.32224

..2471..2493..3092..3502..3775..4868..6540..8551.10761.13991.18817.25579.34473

..3506..2863..3502..3924..4209..5371..7132..9238.11551.14945.20018.27116.36445

..4257..3123..3775..4209..4498..5727..7575..9778.12188.15746.21068.28510.38276

..5737..4129..4868..5371..5727..7090..9090.11457.14037.17836.23484.31351.41643

..8117..5711..6540..7132..7575..9090.11268.13821.16593.20653.26657.34977.45825

.12306..7604..8551..9238..9778.11457.13821.16568.19544.23879.30251.39038.50462

.18187..9713.10761.11551.12188.14037.16593.19544.22726.27344.34094.43364.55374

.26561.12764.13991.14945.15746.17836.20653.23879.27344.32326.39535.49373.62062

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1681

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +a(n-4) -2*a(n-5) +2*a(n-6) -2*a(n-7) +a(n-8) for n>11

k=2: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -2*a(n-5) +a(n-6) -2*a(n-7) +2*a(n-8) +a(n-11) -a(n-12) for n>15

k=3,5,7: 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

k=4: a(n) = 4*a(n-1) -7*a(n-2) +8*a(n-3) -6*a(n-4) +a(n-5) +3*a(n-6) -4*a(n-7) +3*a(n-8) -a(n-9) for n>11

k=6: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +2*a(n-4) -5*a(n-5) +4*a(n-6) -a(n-7) -a(n-8) +2*a(n-9) -a(n-10) for n>12

EXAMPLE

Some solutions for n=2 k=4

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

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

..0..0..0..0..0..0..0....2..0..0..0..0..0..0....0..0..0..0..0..0..0

..0..0..0..0..0..0..0....2..0..0..0..0..0..0....0..0..0..0..0..0..0

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

CROSSREFS

Sequence in context: A183842 A253711 A168176 * A224721 A224720 A320277

Adjacent sequences:  A224725 A224726 A224727 * A224729 A224730 A224731

KEYWORD

nonn,tabl

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.)