A211849 T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1

1, 1, 5, 1, 7, 19, 1, 9, 35, 63, 1, 11, 56, 147, 196, 1, 13, 82, 286, 561, 588, 1, 15, 113, 494, 1302, 2013, 1731, 1, 17, 149, 785, 2619, 5486, 6936, 5049, 1, 19, 190, 1173, 4755, 12713, 21897, 23244, 14689, 1, 21, 236, 1672, 7996, 26163, 57913, 84003, 76434

Offset

1,3

Comments

Table starts

....1.....1.....1......1......1.......1.......1.......1........1........1

....5.....7.....9.....11.....13......15......17......19.......21.......23

...19....35....56.....82....113.....149.....190.....236......287......343

...63...147...286....494....785....1173....1672....2296.....3059.....3975

..196...561..1302...2619...4755....7996...12671...19152....27854....39235

..588..2013..5486..12713..26163...49210...86275..142968...226230...344475

.1731..6936.21897..57913.134164..280751..542235..981675..1685165..2766870

.5049.23244.84003.251481.651814.1510267.3200979.6311155.11721555.20705130

Links

R. H. Hardin, Table of n, a(n) for n = 1..9999

Example

Some solutions for n=3 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....0....1....0....1....1....0....0....0....1....1....1....1....1....1
..1....0....1....1....1....1....1....0....1....1....1....1....1....1....1....0
..2....0....1....2....1....2....2....1....1....1....1....2....2....0....2....0
..2....2....2....2....1....2....1....1....2....2....2....2....2....0....2....2
..3....0....2....2....2....3....1....2....2....2....1....2....0....2....3....2
..3....0....3....3....2....3....3....2....3....3....1....3....0....2....3....3
..3....3....3....3....3....4....3....3....2....3....3....2....3....3....4....2
..4....3....4....4....3....4....4....3....2....3....3....2....3....3....4....2
..4....4....3....4....4....1....4....4....4....4....4....4....4....4....5....4
..4....4....3....4....4....1....4....4....4....4....4....4....4....4....5....4
..5....5....5....5....5....5....5....5....5....5....5....5....5....5....4....5

Crossrefs

Row 3 is A192136(n+2)

Sequence in context: A224139 A320905 A193860 * A363419 A222182 A126155

Adjacent sequences: A211846 A211847 A211848 * A211850 A211851 A211852

Keyword

nonn,tabl

Author

R. H. Hardin Apr 22 2012

Status

approved