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A204713 T(n,k) is the number of (n+1) X (k+1) 0..1 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. 8
7, 13, 13, 25, 33, 25, 49, 81, 81, 49, 97, 209, 257, 209, 97, 193, 529, 833, 833, 529, 193, 385, 1361, 2689, 3473, 2689, 1361, 385, 769, 3473, 8705, 14145, 14145, 8705, 3473, 769, 1537, 8913, 28161, 58449, 73345, 58449, 28161, 8913, 1537, 3073, 22801, 91137 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is A183688+1 (the +1 comes from the all-1 matrix). [Discovered by SequenceDB] - Andrey Zabolotskiy, Oct 19 2021

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..760

FORMULA

Empirical for column k:

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

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

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

k=4: a(n) = a(n-1) +13*a(n-2) +3*a(n-3) -16*a(n-4)

k=5: a(n) = 4*a(n-1) +15*a(n-2) -38*a(n-3) -52*a(n-4) +72*a(n-5)

k=6: (order 9 recurrence)

k=7: (order 10 recurrence)

EXAMPLE

Table starts

    7   13    25     49       97       193        385         769         1537

   13   33    81    209      529      1361       3473        8913        22801

   25   81   257    833     2689      8705      28161       91137       294913

   49  209   833   3473    14145     58449     239425      986129      4047681

   97  529  2689  14145    73345    382849    1992321    10382977     54072961

  193 1361  8705  58449   382849   2542369   16748161   110871041    731709057

  385 3473 28161 239425  1992321  16748161  140090241  1174759297   9838208513

  769 8913 91137 986129 10382977 110871041 1174759297 12503757969 132720731393

Some solutions for n=4 k=3

  1  1  1  1    1  1  1  1    0  1  1  1    1  1  1  1    0  1  0  1

  0  1  0  1    0  1  0  1    1  0  1  0    0  1  0  1    1  1  1  0

  1  1  1  0    1  0  1  0    1  1  1  1    1  1  1  0    1  0  1  1

  0  1  0  1    1  1  0  1    0  1  0  1    1  0  1  1    0  1  1  0

  1  1  1  0    0  1  1  0    1  1  1  0    1  1  0  1    1  1  0  1

CROSSREFS

Column 1 is A004119(n+1).

Cf. A183688.

Sequence in context: A145009 A090229 A259222 * A241985 A194408 A057930

Adjacent sequences:  A204710 A204711 A204712 * A204714 A204715 A204716

KEYWORD

nonn,tabl,changed

AUTHOR

R. H. Hardin, Jan 18 2012

STATUS

approved

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Last modified October 27 07:47 EDT 2021. Contains 348272 sequences. (Running on oeis4.)