A214677 a(n) = n represented in bijective base-7 numeration.

1, 2, 3, 4, 5, 6, 7, 11, 12, 13, 14, 15, 16, 17, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 34, 35, 36, 37, 41, 42, 43, 44, 45, 46, 47, 51, 52, 53, 54, 55, 56, 57, 61, 62, 63, 64, 65, 66, 67, 71, 72, 73, 74, 75, 76, 77, 111, 112, 113, 114, 115, 116, 117, 121, 122

Offset

1,2

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

R. R. Forslund, A logical alternative to the existing positional number system, Southwest Journal of Pure and Applied Mathematics, Vol. 1, 1995, 27-29.

Eric Weisstein's World of Mathematics, Zerofree

Wikipedia, Bijective numeration

Maple

a:= proc(n) local d, l, m; m:= n; l:= NULL;
      while m>0 do d:= irem(m, 7, 'm');
        if d=0 then d:=7; m:= m-1 fi;
        l:= d, l
      od; parse(cat(l))
    end:
seq(a(n), n=1..100);

Mathematica

With[{b = 7}, Flatten@ Table[FromDigits[PadLeft[IntegerDigits[k, b], n] /. k_ :> k + 1], {n, 3}, {k, 0, b^n - 1}] ] (* Michael De Vlieger, Sep 16 2023 *)

Crossrefs

Column k=7 of A214676.

Sequence in context: A102453 A265571 A265555 * A275910 A032971 A099466

Adjacent sequences: A214674 A214675 A214676 * A214678 A214679 A214680

Keyword

nonn,base,easy

Author

Alois P. Heinz, Jul 25 2012

Status

approved