The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons 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 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!)
 A252148 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7 9

%I

%S 1921,3026,3026,5090,2543,5090,8132,3073,3073,8132,14578,3797,5440,

%T 3797,14578,24855,5511,4416,4416,5511,24855,44707,7997,9443,5860,9443,

%U 7997,44707,79081,11573,8964,8391,8391,8964,11573,79081,140896,16734,21375

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 7

%C Table starts

%C ...1921..3026..5090..8132..14578..24855..44707..79081.140896.248042..450225

%C ...3026..2543..3073..3797...5511...7997..11573..16734..25572..37796...57507

%C ...5090..3073..5440..4416...9443...8964..21375..18900..49770..41768..119013

%C ...8132..3797..4416..5860...8391..11662..17166..25025..36612..54416...82121

%C ..14578..5511..9443..8391..18757..16958..44234..36963.101771..83289..245182

%C ..24855..7997..8964.11662..16958..24112..34320..50514..77490.109924..171154

%C ..44707.11573.21375.17166..44234..34320.108750..78781.254289.178690..631331

%C ..79081.16734.18900.25025..36963..50514..78781.114221.179372.250389..400881

%C .140896.25572.49770.36612.101771..77490.254289.179372.618938.408148.1530647

%C .248042.37796.41768.54416..83289.109924.178690.250389.408148.567920..943581

%H R. H. Hardin, <a href="/A252148/b252148.txt">Table of n, a(n) for n = 1..448</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 96] for n>105

%F k=2: [order 53] for n>60

%F k=3: [order 30] for n>36

%F k=4: [order 24] for n>31

%F k=5: [order 30, same recurrence as k=3] for n>38

%F k=6: [order 24, same recurrence as k=4] for n>33

%F k=7: [order 30, same recurrence as k=3,5] for n>40

%e Some solutions for n=4 k=4

%e ..2..1..0..2..3..0....3..0..3..0..2..1....1..3..1..3..1..2....3..1..3..1..3..3

%e ..1..2..0..1..2..0....1..3..1..3..1..2....2..0..3..0..3..0....0..3..0..3..0..3

%e ..0..0..0..0..0..0....2..0..3..0..3..3....3..3..1..3..1..3....2..1..3..1..3..1

%e ..2..1..0..2..1..3....3..3..1..3..1..2....2..0..3..0..3..0....3..3..0..3..0..3

%e ..3..2..0..1..2..3....2..0..3..0..3..0....1..3..1..3..1..3....2..1..3..1..3..1

%e ..0..0..0..3..0..0....1..3..1..3..1..3....3..0..3..0..3..0....1..2..0..3..0..3

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 14 2014

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.

Last modified December 6 10:57 EST 2021. Contains 349563 sequences. (Running on oeis4.)