A200181 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern).

1, 1, 1, 1, 2, 3, 1, 3, 3, 3, 1, 4, 5, 6, 2, 1, 5, 5, 11, 12, 6, 1, 6, 7, 14, 15, 15, 10, 1, 7, 7, 19, 24, 29, 29, 7, 1, 8, 9, 26, 31, 48, 78, 72, 12, 1, 9, 9, 31, 48, 72, 100, 160, 133, 28, 1, 10, 11, 38, 53, 103, 186, 280, 283, 214, 29, 1, 11, 11, 47, 74, 141, 246, 460, 608, 574, 394

Offset

1,5

Comments

Table starts

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

..1...2...3....4....5....6....7....8.....9....10....11....12....13....14....15

..3...3...5....5....7....7....9....9....11....11....13....13....15....15....17

..3...6..11...14...19...26...31...38....47....54....63....74....83....94...107

..2..12..15...24...31...48...53...74....83...108...119...148...159...196...209

..6..15..29...48...72..103..141..186...244...309...385...472...572...685...813

.10..29..78..100..186..246..380..464...686...798..1096..1276..1658..1878..2408

..7..72.160..280..460..700.1010.1430..1954..2592..3392..4348..5470..6826..8392

.12.133.283..608..891.1573.2152.3430..4429..6531..8124.11410.13787.18525.21952

.28.214.574.1094.1934.3247.5014.7552.11060.15511.21380.29006.38248.49885.64294

Links

R. H. Hardin, Table of n, a(n) for n = 1..958

Example

Some solutions for n=7 k=6
..2....6....3...-1....1....3....4....2....1....4....6....5....1....1....5....6
..3....1....4....0....2....1....5....3....0....0....0....4....2....2....0...-1
..1....2....2....1...-1....2....6....1....1....1....1....5....3....3....1....0
..2....3....3....2....0....1...-4....2...-1...-1...-2...-4...-1...-2....2...-1
..3...-4...-4...-1....1....2...-3...-3....0....0...-1...-3....0...-1...-2....0
.-6...-3...-3....0...-2...-5...-2...-2...-1....1....0...-2...-3...-2...-1....1
.-5...-5...-5...-1...-1...-4...-6...-3....0...-5...-4...-5...-2...-1...-5...-5

Crossrefs

Row 3 is A063196(n+2)

Sequence in context: A104483 A080717 A239214 * A121062 A045831 A338988

Adjacent sequences: A200178 A200179 A200180 * A200182 A200183 A200184

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 13 2011

Status

approved