A071156 -id:A071156 - cp's OEIS frontend

A120696 Numbers whose factorial representation contains no zeros and each digit is at most one larger than the largest following digit.

0, 1, 3, 5, 9, 11, 15, 17, 23, 33, 35, 39, 41, 47, 57, 59, 63, 65, 71, 83, 87, 89, 95, 119, 153, 155, 159, 161, 167, 177, 179, 183, 185, 191, 203, 207, 209, 215, 239, 273, 275, 279, 281, 287, 297, 299, 303, 305, 311, 323, 327, 329, 335, 359, 395, 399, 401, 407

Offset: 0

Franklin T. Adams-Watters, Jun 28 2006

0 is included by considering it to have the empty string as its factorial base representation.

Alois P. Heinz, Rows n = 0..9, flattened

Cf. A000110 (row lengths), A120698, A120695, A120697, A071156.

A126299 Factorial codes for the fixed points of the square of Vaillé's 1997 bijection on Dyck paths.

Original entry on oeis.org

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

Offset: 0

Antti Karttunen, Jan 02 2007

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".

J. Vaillé, Une Bijection Explicative de Plusieurs Propriétés Remarquables des Ponts, European J. Combin. 18 (1997), no. 1, 117-124.

Cf. A071158, A126298.

Superset of A126301. Number of terms of length n is given by A126295(n).

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

A126300 Fixed points of the permutation A125985/A125986.

Original entry on oeis.org

0, 1, 47, 443, 653479, 10269977

Offset: 0

Antti Karttunen, Jan 02 2007

Those i, for which A125985(i)=i. A126301 shows the same fixed points using factorial code as employed in Vaillé's paper.

J. Vaillé, Une Bijection Explicative de Plusieurs Propriétés Remarquables des Ponts, European J. Combin. 18 (1997), no. 1, 117-124.

Subset of A126298. Cf. A126295. A126311(n) = A071156(a(n)).

cp's OEIS Frontend

A120696 Numbers whose factorial representation contains no zeros and each digit is at most one larger than the largest following digit.

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A126299 Factorial codes for the fixed points of the square of Vaillé's 1997 bijection on Dyck paths.

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A126300 Fixed points of the permutation A125985/A125986.

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