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A255693
Convert n to base 8, move the most significant digit to the least significant one and convert back to base 10.
14
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
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 *)
KEYWORD
nonn,easy,base
AUTHOR
Paolo P. Lava, Mar 02 2015
STATUS
approved