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
Examples
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.
Links
- Paolo P. Lava, Table of n, a(n) for n = 0..1000
Programs
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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);
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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 *)
Comments