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A200181
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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)
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12
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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
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OFFSET
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1,5
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COMMENTS
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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
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..958
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EXAMPLE
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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
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CROSSREFS
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Row 3 is A063196(n+2)
Sequence in context: A104483 A080717 A239214 * A121062 A045831 A338988
Adjacent sequences: A200178 A200179 A200180 * A200182 A200183 A200184
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Nov 13 2011
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STATUS
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approved
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