cp's OEIS Frontend

A268049 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row unequal to, and in every column equal to, the previous repeated value, and new values introduced in row-major sequential order.

%I A268049 #4 Jan 25 2016 10:52:56
%S A268049 1,2,2,4,14,4,12,159,122,7,40,3183,9054,938,12,154,88243,1650058,
%T A268049 467899,6734,20,656,3222467,525124941,829256141,22309009,45938,33,
%U A268049 3074,147078491,262999737747,3273871468927,386602239495,999810316,302402,54
%N A268049 T(n,k)=Number of nXk 0..k arrays with every repeated value in every row unequal to, and in every column equal to, the previous repeated value, and new values introduced in row-major sequential order.
%C A268049 Table starts
%C A268049 ..1.......2...........4..............12................40...............154
%C A268049 ..2......14.........159............3183.............88243...........3222467
%C A268049 ..4.....122........9054.........1650058.........525124941......262999737747
%C A268049 ..7.....938......467899.......829256141.....3273871468927.24754240745963975
%C A268049 .12....6734....22309009....386602239495.19146833412153174
%C A268049 .20...45938...999810316.168939588471080
%C A268049 .33..302402.42764566838
%C A268049 .54.1939154
%C A268049 .88
%H A268049 R. H. Hardin, <a href="/A268049/b268049.txt">Table of n, a(n) for n = 1..48</a>
%F A268049 Empirical for column k:
%F A268049 k=1: a(n) = 2*a(n-1) -a(n-3)
%F A268049 k=2: a(n) = 14*a(n-1) -60*a(n-2) +50*a(n-3) +145*a(n-4) -80*a(n-5) -84*a(n-6) +16*a(n-7)
%F A268049 k=3: [order 78]
%e A268049 Some solutions for n=5 k=4
%e A268049 ..0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0....0..0..1..0
%e A268049 ..0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0....0..1..0..0
%e A268049 ..2..0..0..1....2..1..0..3....1..0..0..1....1..1..0..2....2..0..0..3
%e A268049 ..3..0..0..2....4..0..0..4....0..2..0..3....0..1..0..3....4..4..0..1
%e A268049 ..4..2..4..1....3..2..0..1....0..2..0..1....3..4..0..2....1..1..3..0
%Y A268049 Column 1 is A000071(n+2).
%Y A268049 Column 2 is A267906.
%Y A268049 Row 1 is A268010.
%Y A268049 Row 2 is A268011.
%K A268049 nonn,tabl
%O A268049 1,2
%A A268049 _R. H. Hardin_, Jan 25 2016