

A345110


a(n) is n rotated one place to the left or, equivalently, n with the most significant digit moved to the least significant place, omitting leading zeros.


5



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 11, 21, 31, 41, 51, 61, 71, 81, 91, 2, 12, 22, 32, 42, 52, 62, 72, 82, 92, 3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 4, 14, 24, 34, 44, 54, 64, 74, 84, 94, 5, 15, 25, 35, 45, 55, 65, 75, 85, 95, 6, 16, 26, 36, 46, 56, 66, 76, 86
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OFFSET

0,3


COMMENTS

First differs from A004086 at n = 101, since A004086(101) = 101, but a(101) = 11.


LINKS

Table of n, a(n) for n=0..68.


EXAMPLE

For n = 123: When 123 is rotated one place to the left the resulting number is 231, so a(123) = 231.


MATHEMATICA

Array[FromDigits@*RotateLeft@*IntegerDigits, 100, 0] (* Giorgos Kalogeropoulos, Jun 09 2021 *)


PROG

(PARI) eva(n) = subst(Pol(n), x, 10)
rot(vec) = if(#vec < 2, return(vec)); my(s=concat(Str(2), ".."), v=[]); s=concat(s, Str(#vec)); v=vecextract(vec, s); v=concat(v, vec[1]); v
a(n) = eva(rot(digits(n)))
(Python)
def rotl(s): return s[1:] + s[0]
def a(n): return int(rotl(str(n)))
print([a(n) for n in range(69)]) # Michael S. Branicky, Jun 09 2021


CROSSREFS

Cf. A004086, A345111, A345112, A345113, A345114, A345115.
Rotate left in other bases: A006257, A048787, A255689, A255691, A255692, A255693.
Sequence in context: A107603 A161594 A084011 * A004086 A121760 A061816
Adjacent sequences: A345107 A345108 A345109 * A345111 A345112 A345113


KEYWORD

nonn,base,easy


AUTHOR

Felix Fröhlich, Jun 09 2021


STATUS

approved



