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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. 13

%I #14 Mar 27 2018 11:00:41

%S 0,1,3,5,9,11,15,17,23,33,35,39,41,47,57,59,63,65,71,87,89,95,119,153,

%T 155,159,161,167,177,179,183,185,191,207,209,215,239,273,275,279,281,

%U 287,297,299,303,305,311,327,329,335,359,417,419,423,425,431,447,449

%N 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.

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

%C 0 is included by considering it to have the empty string as its factorial base representation. - _Franklin T. Adams-Watters_, Jun 28 2006

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

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

%K base,nonn,tabf

%O 0,3

%A _Antti Karttunen_, May 14 2002

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)