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A287478 Positive numbers m with the property that m is the least cyclic permutation of its digits with the same number of digits as m. 1
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 37, 38, 39, 40, 44, 45, 46, 47, 48, 49, 50, 55, 56, 57, 58, 59, 60, 66, 67, 68, 69, 70, 77, 78, 79, 80, 88, 89, 90, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

First differs from A179239 at n = 83; a(83) = 120 and A179239(83) = 122. This sequence is a supersequence of A179239.

If there is a zero digit, then we do not consider the cyclic shift which begins with the zero digit.

The number 0 should also be in this list. The initial digit of any term must be its smallest nonzero digit. - M. F. Hasler, Oct 18 2019

LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000

MATHEMATICA

Select[Range@ 120, Function[d, First@ Sort@ Map[FromDigits, DeleteCases[ NestList[RotateLeft, d, Length@ d - 1], _?(First@ # == 0 &)]] == #]@ IntegerDigits@ # &] (* Michael De Vlieger, May 27 2017 *)

PROG

(PARI) is(n) = my(d=digits(n), v=vector(#d), no=n, nn=n, l=List(n)); for(i=2, #d, no = nn\10; no = no+(nn-no*10)*10^(#d-1); if(#digits(no)==#d, listput(l, no)); nn=no); listsort(l); n==l[1]

is(n) = {my(d = digits(n), dd = concat(d, d)); for(i=2, #d, c=vector(#d, j, dd[i+j-1]); if(fromdigits(c) < n, if(c[1]!=0, return(0)))); 1}

(PARI) is_A287478(n, D=digits(n))={!for(i=2, #D, ((D[i]<D[1] && D[i])|| (D[i]==D[1]&&[1, 10^(i-1)]*divrem(n, 10^(#D-i+1))<n))&& return)} \\ M. F. Hasler, Oct 18 2019

CROSSREFS

Cf. A179239, A287198.

Sequence in context: A260255 A261906 A179239 * A135579 A250251 A138234

Adjacent sequences:  A287475 A287476 A287477 * A287479 A287480 A287481

KEYWORD

nonn,base

AUTHOR

David A. Corneth, May 25 2017

STATUS

approved

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Last modified March 28 11:00 EDT 2020. Contains 333083 sequences. (Running on oeis4.)