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

Author

R. H. Hardin Nov 13 2011

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Row 3 is A063196(n+2)