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 A200057 T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and elements alternately strictly increasing and strictly decreasing 11
 1, 1, 2, 1, 4, 4, 1, 6, 10, 4, 1, 8, 22, 26, 6, 1, 10, 36, 78, 68, 10, 1, 12, 56, 172, 288, 178, 14, 1, 14, 78, 324, 840, 1098, 472, 22, 1, 16, 106, 546, 1948, 4172, 4224, 1276, 34, 1, 18, 136, 850, 3914, 11962, 20978, 16432, 3462, 52, 1, 20, 172, 1252, 7074, 28554, 74338 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Table starts ..1....1......1.......1........1........1.........1..........1..........1 ..2....4......6.......8.......10.......12........14.........16.........18 ..4...10.....22......36.......56.......78.......106........136........172 ..4...26.....78.....172......324......546.......850.......1252.......1764 ..6...68....288.....840.....1948.....3914......7074......11862......18732 .10..178...1098....4172....11962....28554.....59910.....114232.....202314 .14..472...4224...20978....74338...211242....514168....1115572....2215290 .22.1276..16432..106674...466548..1577878...4453946...10995240...24477966 .34.3462..64310..545698..2947742.11867186..38855488..109147062..272432422 .52.9496.253692.2811236.18746754.89815404.341052122.1090022120.3050199016 LINKS R. H. Hardin, Table of n, a(n) for n = 1..871 EXAMPLE Some solutions for n=7 k=6 ..3....0...-2....1....0...-3....0....0...-3....0...-3...-3....3...-3....0...-6 .-1...-3...-6....0...-1....6....2....5...-6....5...-6....0...-3...-2...-4....3 ..0....5....6....3....6...-3...-2...-5....4...-5....3...-1....3...-3....4...-2 .-4....2...-5...-4...-3...-2....1....6...-5....6...-3....4...-5....1...-6....5 ..4....4....1...-1...-1...-4...-5...-3....5...-3....6...-1....4...-1....6....1 .-3...-6....0...-3...-6....6....4....1...-1....2...-3....3...-3....6...-5....3 ..1...-2....6....4....5....0....0...-4....6...-5....6...-2....1....2....5...-4 CROSSREFS Column 1 is twice A077419 for n>1 Row 3 is twice A171769 Sequence in context: A115237 A105542 A208907 * A136600 A136672 A097750 Adjacent sequences:  A200054 A200055 A200056 * A200058 A200059 A200060 KEYWORD nonn,tabl AUTHOR R. H. Hardin Nov 13 2011 STATUS approved

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Last modified September 21 00:14 EDT 2021. Contains 347596 sequences. (Running on oeis4.)