A252917 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

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.

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