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A224606 T(n,k)=Number of (n+2)X(k+2) 0..2 matrices with each 3X3 subblock idempotent 9
122, 178, 178, 297, 272, 297, 416, 371, 371, 416, 628, 449, 482, 449, 628, 1045, 630, 571, 571, 630, 1045, 1694, 894, 782, 666, 782, 894, 1694, 2668, 1221, 1086, 906, 906, 1086, 1221, 2668, 4265, 1707, 1455, 1247, 1202, 1247, 1455, 1707, 4265, 6922, 2440 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
..122..178..297..416..628.1045.1694.2668..4265..6922.11196.18035.29122.47134
..178..272..371..449..630..894.1221.1707..2440..3476..4979..7189.10414.15114
..297..371..482..571..782.1086.1455.2010..2843..4018..5720..8226.11877.17199
..416..449..571..666..906.1247.1657.2280..3216..4533..6443..9258.13358.19335
..628..630..782..906.1202.1609.2091.2817..3895..5397..7564.10745.15361.22074
.1045..894.1086.1247.1609.2092.2656.3497..4731..6434..8878.12451.17617.25112
.1694.1221.1455.1657.2091.2656.3308.4272..5672..7588.10325.14312.20058.28377
.2668.1707.2010.2280.2817.3497.4272.5398..7007..9183.12266.16728.23125.32353
.4265.2440.2843.3216.3895.4731.5672.7007..8876.11367.14857.19863.26990.37220
.6922.3476.4018.4533.5397.6434.7588.9183.11367.14232.18194.23817.31757.43086
LINKS
FORMULA
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..7+: 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..1..0..0..0..0....1..0..0..0..0..0....0..1..0..0..0..1....1..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..1....1..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..1....1..0..0..0..0..0
..0..0..0..0..0..0....0..0..0..0..0..0....0..1..0..0..0..1....0..0..0..0..0..0
..1..2..1..1..1..1....0..0..0..0..0..0....0..0..0..0..0..1....0..0..0..0..1..1
CROSSREFS
Sequence in context: A077030 A280733 A309760 * A224599 A207147 A222578
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Apr 11 2013
STATUS
approved

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Last modified June 21 02:50 EDT 2024. Contains 373535 sequences. (Running on oeis4.)