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A251962 T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime 7

%I #4 Dec 11 2014 13:09:58

%S 5484,11375,11375,27550,26027,27550,101307,149744,149744,101307,

%T 417045,1201953,2124017,1201953,417045,1957438,10509427,30761067,

%U 30761067,10509427,1957438,10045910,94160979,458358230,736975310,458358230

%N T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

%C Table starts

%C .......5484........11375...........27550...........101307............417045

%C ......11375........26027..........149744..........1201953..........10509427

%C ......27550.......149744.........2124017.........30761067.........458358230

%C .....101307......1201953........30761067........736975310.......18033590706

%C .....417045.....10509427.......458358230......18033590706......731661524537

%C ....1957438.....94160979......6886698489.....446277561777....30091466242073

%C ...10045910....839633727....102836207351...10977331490335..1225476789960343

%C ...53241089...7484563854...1538051208196..270151507070538.49988074220671475

%C ..284500818..66822646537..23018111175603.6654368971046793

%C .1525692838.596375268131.344296818674851

%H R. H. Hardin, <a href="/A251962/b251962.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=2 k=4

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

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

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

%e ..1..3..1..1..3..1....1..3..1..1..1..1....1..1..1..1..1..1....3..3..1..3..3..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 11 2014

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Last modified June 14 12:19 EDT 2024. Contains 373400 sequences. (Running on oeis4.)