A250832 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.

625, 9025, 9025, 119025, 411451, 119025, 1301881, 16545428, 16545428, 1301881, 13249600, 516786049, 1966779166, 516786049, 13249600, 123432100, 14616585449, 170110220357, 170110220357, 14616585449, 123432100, 1093360356, 366421422539

Offset

1,1

Comments

Table starts

......625........9025.........119025..........1301881............13249600

.....9025......411451.......16545428........516786049.........14616585449

...119025....16545428.....1966779166.....170110220357......12996183984600

..1301881...516786049...170110220357...38812715138278....7652280240209823

.13249600.14616585449.12996183984600.7652280240209823.3816897629309107901

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 43]

Example

Some solutions for n=1 k=4
..0..0..0..2..4....0..0..0..3..0....0..0..3..3..0....0..0..1..1..1
..3..1..4..4..0....0..1..1..2..3....2..4..4..4..1....0..4..4..2..4

Crossrefs

Sequence in context: A238700 A064781 A372845 * A250827 A055868 A016852

Adjacent sequences: A250829 A250830 A250831 * A250833 A250834 A250835

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 27 2014

Status

approved