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A224559 T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock idempotent 9
50, 70, 70, 113, 94, 113, 172, 133, 133, 172, 263, 174, 180, 174, 263, 418, 246, 230, 230, 246, 418, 669, 351, 320, 286, 320, 351, 669, 1064, 492, 451, 395, 395, 451, 492, 1064, 1699, 693, 620, 551, 540, 551, 620, 693, 1699, 2734, 992, 866, 749, 740, 740, 749, 866 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...50...70..113..172..263..418..669.1064.1699.2734..4409..7108.11471.18538

...70...94..133..174..246..351..492..693..992.1418..2036..2937..4253..6169

..113..133..180..230..320..451..620..866.1229.1746..2493..3586..5178..7498

..172..174..230..286..395..551..749.1041.1473.2086..2973..4273..6166..8925

..263..246..320..395..540..740..988.1351.1881.2623..3689..5243..7494.10763

..418..351..451..551..740..992.1298.1742.2382.3267..4530..6362..9003.12826

..669..492..620..749..988.1298.1668.2201.2961.4001..5477..7609.10670.15089

.1064..693..866.1041.1351.1742.2201.2852.3765.4997..6729..9212.12754.17844

.1699..992.1229.1473.1881.2382.2961.3765.4870.6337..8374.11265.15355.21197

.2734.1418.1746.2086.2623.3267.4001.4997.6337.8086.10481.13841.18550.25229

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1566

FORMULA

Empirical for diagonal:

k=0: a(n) = 6*a(n-1) -15*a(n-2) +23*a(n-3) -30*a(n-4) +36*a(n-5) -34*a(n-6) +27*a(n-7) -21*a(n-8) +13*a(n-9) -6*a(n-10) +3*a(n-11) -a(n-12) for n>14

Empirical for column k:

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

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

k=3..12+: 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

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A335233 A180103 A102803 * A272607 A224552 A039473

Adjacent sequences:  A224556 A224557 A224558 * A224560 A224561 A224562

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Apr 10 2013

STATUS

approved

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Last modified October 27 13:45 EDT 2021. Contains 348276 sequences. (Running on oeis4.)