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 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) 12
 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 (list; table; graph; refs; listen; history; text; internal format)
 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

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Last modified March 24 09:33 EDT 2023. Contains 361470 sequences. (Running on oeis4.)