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A071156 Apart from the initial term (0), lists all integers whose factorial expansion ends with 1 (i.e. are odd numbers), do not contain a digit zero, and each successive digit to the left is at most one greater than the preceding digit. +0
12
0, 1, 3, 5, 9, 11, 15, 17, 23, 33, 35, 39, 41, 47, 57, 59, 63, 65, 71, 87, 89, 95, 119, 153, 155, 159, 161, 167, 177, 179, 183, 185, 191, 207, 209, 215, 239, 273, 275, 279, 281, 287, 297, 299, 303, 305, 311, 327, 329, 335, 359, 417, 419, 423, 425, 431, 447, 449 (list; graph; listen)
OFFSET

0,3

COMMENT

a(n) = A085198(A014486(n)) = A071155(A057164(n)). Catalan numbers A000108(n) gives the number of terms whose factorial expansion contain n digits.

0 is included by considering it to have the empty string as its base factorial representation. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jun 28 2006

CROSSREFS

The beginning of this sequence expanded in the factorial number system: A071158. Inverse function: A085199. First differences: A085191.

Cf. A000108 (row lengths), A071155, A120696.

Adjacent sequences: A071153 A071154 A071155 this_sequence A071157 A071158 A071159

Sequence in context: A078651 A101114 A120696 this_sequence A076610 A069205 A064988

KEYWORD

base,nonn,tabf

AUTHOR

Antti Karttunen May 14 2002

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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