A126299 - OEIS

A126299

Factorial codes for the fixed points of the square of Vaillé's 1997 bijection on Dyck paths.

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

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