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A126299
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Factorial codes for the fixed points of the square of Vaille'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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 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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REFERENCES
| J. Vaill\'{e}, Une Bijection Explicative de Plusieurs Proprietes Remarquables des Ponts, European J. Combin. 18 (1997), no. 1, 117-124.
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CROSSREFS
| a(n) = A071158(A126298(n)). Superset of A126301. Number of terms of length n is given by A126295(n).
Sequence in context: A071158 A071157 A096104 * A166707 A116525 A094623
Adjacent sequences: A126296 A126297 A126298 * A126300 A126301 A126302
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KEYWORD
| nonn,base
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AUTHOR
| Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 02 2007
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