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A244888
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Triangle of coefficients arising in study of up-down permutations.
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1
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1, -2, 1, 6, -6, 1, -23, 36, -15, 1, 106, -229, 160, -37, 1, -567, 1574, -1566, 650, -93, 1, 3434, -11706, 15248, -9310, 2572, -238, 1, -23137, 93831, -151933, 123814, -52136, 10175, -616, 1
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refs;
listen;
history;
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OFFSET
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1,2
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COMMENTS
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See Remmel (2014) for precise definition.
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LINKS
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Table of n, a(n) for n=1..36.
Jeffrey B. Remmel, Consecutive Up-down Patterns in Up-down Permutations, Electron. J. Combin., 21 (2014), #P3.2. See p. 25.
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EXAMPLE
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Triangle begins:
1;
-2, 1;
6, -6, 1;
-23, 36, -15, 1;
106, -229, 160, -37, 1;
-567, 1574, -1566, 650, -93, 1;
3434, -11706, 15248, -9310, 2572, -238, 1;
-23137, 93831, -151933, 123814, -52136, 10175, -616, 1;
...
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CROSSREFS
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First two columns are A125273 and A244889.
Sequence in context: A260848 A110183 A110098 * A130561 A157400 A091599
Adjacent sequences: A244885 A244886 A244887 * A244889 A244890 A244891
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KEYWORD
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sign,tabl
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AUTHOR
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N. J. A. Sloane, Jul 12 2014
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STATUS
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approved
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