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A126299
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Factorial codes for the fixed points of the square of Vaillé's 1997 bijection on Dyck paths.
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4
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0, 1, 11, 21, 111, 321, 1111, 4321, 11111, 23211, 54321, 111111, 122211, 324321, 654321, 1111111, 1222121, 2432211, 3244321, 7654321, 11111111, 22121321, 34443211, 87654321, 111111111, 122322121, 325543321, 987654321, 1111111111
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OFFSET
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0,3
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COMMENTS
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From n=31 the terms cannot anymore be presented unambiguously with decimal numbers, as A126298(31)=23713, A071156(23713)=39916799 and A007623(39916799) would result the factorial expansion "T987654321", where T stands for digit "ten".
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LINKS
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Table of n, a(n) for n=0..28.
J. Vaillé, Une Bijection Explicative de Plusieurs Propriétés Remarquables des Ponts, European J. Combin. 18 (1997), no. 1, 117-124.
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FORMULA
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a(n) = A071158(A126298(n)).
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CROSSREFS
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Cf. A071158, A126298.
Superset of A126301. Number of terms of length n is given by A126295(n).
Sequence in context: A255765 A071157 A096104 * A166707 A116525 A094623
Adjacent sequences: A126296 A126297 A126298 * A126300 A126301 A126302
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KEYWORD
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nonn,base
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AUTHOR
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Antti Karttunen, Jan 02 2007
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STATUS
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approved
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