A250703 Number of (n+1)X(4+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

19876, 253578, 2492054, 19962956, 133888216, 770143684, 3888150856, 17539038598, 71841461103, 270529260362, 946729871276, 3105212595733, 9616751692392, 28290322846851, 79470858284110, 214114347279223

Offset

1,1

Comments

Column 4 of A250707

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 14*a(n-1) -76*a(n-2) +156*a(n-3) +233*a(n-4) -1860*a(n-5) +2703*a(n-6) +4692*a(n-7) -20008*a(n-8) +11166*a(n-9) +53273*a(n-10) -96656*a(n-11) -36908*a(n-12) +265616*a(n-13) -164452*a(n-14) -369008*a(n-15) +575730*a(n-16) +153244*a(n-17) -924820*a(n-18) +404040*a(n-19) +840190*a(n-20) -920920*a(n-21) -313950*a(n-22) +983320*a(n-23) -233740*a(n-24) -614484*a(n-25) +433486*a(n-26) +187056*a(n-27) -315356*a(n-28) +30992*a(n-29) +129260*a(n-30) -58928*a(n-31) -25817*a(n-32) +27158*a(n-33) -1416*a(n-34) -6148*a(n-35) +2081*a(n-36) +508*a(n-37) -441*a(n-38) +52*a(n-39) +28*a(n-40) -10*a(n-41) +a(n-42) for n>47

Example

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

Crossrefs

Sequence in context: A206058 A236497 A194197 * A256653 A186957 A236907

Adjacent sequences: A250700 A250701 A250702 * A250704 A250705 A250706

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved