|
%I #4 Nov 27 2014 20:40:17
%S 625,9025,9025,119025,411451,119025,1301881,16545428,16545428,1301881,
%T 13249600,516786049,1966779166,516786049,13249600,123432100,
%U 14616585449,170110220357,170110220357,14616585449,123432100,1093360356,366421422539
%N T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with nondecreasing maximum of every two consecutive values in every row and column
%C Table starts
%C ......625........9025.........119025..........1301881............13249600
%C .....9025......411451.......16545428........516786049.........14616585449
%C ...119025....16545428.....1966779166.....170110220357......12996183984600
%C ..1301881...516786049...170110220357...38812715138278....7652280240209823
%C .13249600.14616585449.12996183984600.7652280240209823.3816897629309107901
%H R. H. Hardin, <a href="/A250832/b250832.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 43]
%e Some solutions for n=1 k=4
%e ..0..0..0..2..4....0..0..0..3..0....0..0..3..3..0....0..0..1..1..1
%e ..3..1..4..4..0....0..1..1..2..3....2..4..4..4..1....0..4..4..2..4
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 27 2014
| 