A255593 Convert n to base 8, move least significant digit to most significant digit and convert back to base 10.

0, 1, 2, 3, 4, 5, 6, 7, 1, 9, 17, 25, 33, 41, 49, 57, 2, 10, 18, 26, 34, 42, 50, 58, 3, 11, 19, 27, 35, 43, 51, 59, 4, 12, 20, 28, 36, 44, 52, 60, 5, 13, 21, 29, 37, 45, 53, 61, 6, 14, 22, 30, 38, 46, 54, 62, 7, 15, 23, 31, 39, 47, 55, 63, 8, 72, 136, 200, 264, 328

Offset

0,3

Comments

a(8*n) = n.

a(8^n) = 8^(n-1).

Fixed points of the transform are listed in A048333.

Links

Paolo P. Lava, Table of n, a(n) for n = 0..1000

Example

13 in base 8 is 15: moving the least significant digit as the most significant one we have 51 that is 41 in base 10.

Maple

with(numtheory): P:=proc(q, h) local a, b, k, n; print(0);
for n from 1 to q do
a:=convert(n, base, h); b:=[]; for k from 2 to nops(a) do b:=[op(b), a[k]]; od; a:=[op(b), a[1]];
a:=convert(a, base, h, 10); b:=0; for k from nops(a) by -1 to 1 do b:=10*b+a[k]; od;
print(b); od; end: P(10^4, 8);

Mathematica

roll[n_, b_] := Block[{w = IntegerDigits[n, b]}, Prepend[Most@ w, Last@ w]]; b = 8; FromDigits[#, b] & /@ (roll[#, b] & /@ Range[0, 69]) (* Michael De Vlieger, Mar 04 2015 *)
Table[FromDigits[RotateRight[IntegerDigits[n, 8]], 8], {n, 0, 70}] (* Harvey P. Dale, Apr 28 2017 *)

Crossrefs

Cf. A030107, A038572, A048333, A255588-A255592, A255594, A048787, A255689-A255693.

Sequence in context: A056192 A255693 A030107 * A037895 A037903 A037841

Adjacent sequences: A255590 A255591 A255592 * A255594 A255595 A255596

Keyword

nonn,easy,base

Author

Paolo P. Lava, Mar 02 2015

Status

approved