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A126299 Factorial codes for the fixed points of the square of Vaillé's 1997 bijection on Dyck paths. 4
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; text; internal format)
OFFSET

0,3

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".

LINKS

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.

FORMULA

a(n) = A071158(A126298(n)).

CROSSREFS

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

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Jan 02 2007

STATUS

approved

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Last modified June 18 12:21 EDT 2021. Contains 345104 sequences. (Running on oeis4.)