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A224676 T(n,k)=Number of (n+1)X(k+1) 0..2 matrices with each 2X2 subblock idempotent 8
12, 25, 25, 41, 50, 41, 70, 76, 76, 70, 115, 123, 108, 123, 115, 189, 191, 170, 170, 191, 189, 308, 300, 257, 260, 257, 300, 308, 501, 470, 398, 381, 381, 398, 470, 501, 813, 741, 617, 573, 542, 573, 617, 741, 813, 1318, 1173, 967, 864, 793, 793, 864, 967, 1173, 1318 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...12...25...41...70..115..189..308..501...813..1318..2135..3457..5596..9057

...25...50...76..123..191..300..470..741..1173..1866..2980..4775..7671.12348

...41...76..108..170..257..398..617..967..1525..2421..3862..6185..9934.15990

...70..123..170..260..381..573..864.1322..2043..3191..5026..7972.12713.20357

..115..191..257..381..542..793.1166.1746..2650..4080..6355..9996.15843.25257

..189..300..398..573..793.1126.1608.2343..3471..5236..8022.12457.19553.30950

..308..470..617..864.1166.1608.2230.3157..4554..6711.10083.15415.23907.37504

..501..741..967.1322.1746.2343.3157.4336..6072..8705.12767.19130.29198.45247

..813.1173.1525.2043.2650.3471.4554.6072..8246.11470.16359.23922.35783.54575

.1318.1866.2421.3191.4080.5236.6711.8705.11470.15458.21373.30371.44312.66212

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..967

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) -a(n-3)

k=2: a(n) = 4*a(n-1) -5*a(n-2) +a(n-3) +2*a(n-4) -a(n-5)

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

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Diagonal is A224659(n+1)

Sequence in context: A249134 A323195 A033165 * A239147 A136739 A186620

Adjacent sequences:  A224673 A224674 A224675 * A224677 A224678 A224679

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 14 2013

STATUS

approved

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Last modified September 16 06:18 EDT 2021. Contains 347469 sequences. (Running on oeis4.)