A255690 Convert n to base 5, move the most significant digit to the least significant one and convert back to base 10.

0, 1, 2, 3, 4, 1, 6, 11, 16, 21, 2, 7, 12, 17, 22, 3, 8, 13, 18, 23, 4, 9, 14, 19, 24, 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71, 76, 81, 86, 91, 96, 101, 106, 111, 116, 121, 2, 7, 12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92

Offset

0,3

Comments

a(5*n) = 1.

Fixed points of the transform are listed in A048330.

Links

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

Example

14 in base 5 is 24: moving the least significant digit as the most significant one we have 42 that is 22 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, 5);

Mathematica

roll[n_, b_] := Block[{w = IntegerDigits[n, b]}, Append[Rest@ w, First@ w]]; b = 5; FromDigits[#, b] & /@ (roll[#, b] & /@ Range[0, 68]) (* Michael De Vlieger, Mar 04 2015 *)

Crossrefs

Cf. A006257, A030104, A255588-A255594, A048787, A255689, A255691-A255693.

Sequence in context: A060791 A235380 A116912 * A030104 A255590 A049563

Adjacent sequences: A255687 A255688 A255689 * A255691 A255692 A255693

Keyword

nonn,easy,base

Author

Paolo P. Lava, Mar 02 2015

Status

approved