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A252917 T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. 9
754, 8151, 5125, 90512, 52962, 35674, 1012633, 566649, 418853, 258746, 11398109, 6175841, 5247300, 3590945, 1877439, 128428125, 68396118, 67554413, 54457598, 31484714, 13648650, 1448958659, 754814607, 904486202, 899378367, 606913688 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........754........8151.......90512......1012633.....11398109....128428125

.......5125.......52962......566649......6175841.....68396118....754814607

......35674......418853.....5247300.....67554413....904486202..12006682353

.....258746.....3590945....54457598....899378367..16084394412.280079543014

....1877439....31484714...606913688..13412317102.332404559794

...13648650...273765237..6778023822.202527530051

...99324229..2405660944.76682086492

..722975673.21164695786

.5263920930

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..49

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 64] for n > 65.

Empirical for row n:

n=1: [linear recurrence of order 40] for n > 41.

EXAMPLE

Some solutions for n=2, k=4

..0..1..0..0..2..1....0..1..1..2..0..0....0..1..1..0..2..3....0..0..1..2..2..1

..0..1..0..1..0..2....0..1..1..0..1..0....0..1..1..0..0..3....0..0..2..1..2..3

..0..1..1..0..0..2....0..1..1..0..1..2....0..1..0..3..0..2....0..0..1..2..3..1

..0..0..1..0..3..0....0..1..0..0..1..0....0..1..0..0..3..3....0..2..1..1..3..1

CROSSREFS

Sequence in context: A274235 A304608 A252913 * A252918 A232341 A261583

Adjacent sequences:  A252914 A252915 A252916 * A252918 A252919 A252920

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 24 2014

STATUS

approved

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Last modified January 22 19:45 EST 2022. Contains 350504 sequences. (Running on oeis4.)