A255693 Convert n to base 8, move the most significant digit to the least significant one 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, 1, 9, 17, 25, 33, 41

Offset

0,3

Comments

a(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 most significant digit as the least 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 1 to nops(a)-1 do b:=[op(b), a[k]]; od; a:=[a[nops(a)], op(b)];
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]}, Append[Rest@ w, First@ w]]; b = 8; FromDigits[#, b] & /@ (roll[#, b] & /@ Range[0, 69]) (* Michael De Vlieger, Mar 04 2015 *)

Crossrefs

Cf. A006257, A030107, A255588-A255594, A255689-A255692.

Sequence in context: A367514 A270418 A056192 * A030107 A255593 A037895

Adjacent sequences: A255690 A255691 A255692 * A255694 A255695 A255696

Keyword

nonn,easy,base

Author

Paolo P. Lava, Mar 02 2015

Status

approved