

A276001


Numbers n for which A060502(n) <= 1; numbers with at most one distinct slope in their factorial representation.


4



0, 1, 2, 4, 5, 6, 12, 14, 18, 19, 22, 23, 24, 48, 54, 72, 74, 84, 86, 96, 97, 100, 101, 114, 115, 118, 119, 120, 240, 264, 360, 366, 408, 414, 480, 482, 492, 494, 552, 554, 564, 566, 600, 601, 604, 605, 618, 619, 622, 623, 696, 697, 700, 701, 714, 715, 718, 719, 720, 1440, 1560, 2160, 2184, 2400, 2424, 2880, 2886, 2928, 2934, 3240, 3246, 3288, 3294
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OFFSET

0,3


COMMENTS

Indexing starts from zero, because a(0)=0 is a special case in this sequence. To get those n for which A060502(n) = 1, start listing terms from a(1) = 1 onward.
From n=1 onward numbers in whose factorial base representation (A007623) the difference i_x  d_x is the same for all nonzero digits d_x present. Here i_x is the position of digit d_x from the least significant end.
From n=1 onward also n such that A060498(n) is a oneball juggling pattern.


LINKS

Table of n, a(n) for n=0..72.
Index entries for sequences related to factorial base representation


EXAMPLE

4 ("20" in factorial base) is present, because all nonzero digits are on the same slope as there is only one nonzero digit.
14 ("210" in factorial base) is present, because all nonzero digits are on the same slope, as 32 = 21.
19 ("301" in factorial base) is present, because all nonzero digits are on the same slope, as 33 = 11.
21 ("311" in factorial base) is NOT present, because not all of its nonzero digits are on the same slope, as 33 <> 21.


PROG

(Scheme, with Antti Karttunen's IntSeqlibrary)
(define A276001 (MATCHINGPOS 0 0 (lambda (n) (>= 1 (A060502 n)))))


CROSSREFS

Cf. A007623, A060498, A060502, A276002, A276003.
Cf. A000142, A033312, A051683 (subsequences).
Sequence in context: A194600 A255543 A256458 * A182109 A006539 A031150
Adjacent sequences: A275998 A275999 A276000 * A276002 A276003 A276004


KEYWORD

nonn,base


AUTHOR

Antti Karttunen, Aug 16 2016


STATUS

approved



