login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

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 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A251829 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 3 or 6 and every diagonal and antidiagonal sum 3 or 6 9
1890, 3930, 3930, 9354, 8674, 9354, 22266, 28202, 28202, 22266, 61058, 75498, 130826, 75498, 61058, 160322, 284506, 397474, 397474, 284506, 160322, 413202, 1095314, 2395590, 1692106, 2395590, 1095314, 413202, 1139826, 3073138, 12830794 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....1890......3930.......9354.......22266.........61058.........160322

....3930......8674......28202.......75498........284506........1095314

....9354.....28202.....130826......397474.......2395590.......12830794

...22266.....75498.....397474.....1692106......10655426.......60427490

...61058....284506....2395590....10655426.....101716526......951770218

..160322...1095314...12830794....60427490.....951770218....12583469514

..413202...3073138...38456182...266585018....4235688278....56477451898

.1139826..12215010..258040386..1720131962...41895955226...971710872170

.3118482..49634706.1458543158..9899825738..402976069458.13469722571314

.8319882.140568394.4283605290.44110390034.1784010963858.58074471696954

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..241

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 45] for n>48

k=2: [order 33] for n>36

k=3: [order 39] for n>42

k=4: [order 26] for n>28

k=5: [order 63] for n>66

k=6: [order 79] for n>84

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

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

CROSSREFS

Sequence in context: A168226 A151721 A187743 * A251822 A251821 A151773

Adjacent sequences:  A251826 A251827 A251828 * A251830 A251831 A251832

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 3 22:32 EST 2021. Contains 349468 sequences. (Running on oeis4.)