A188532 Numbers which contain only the digit 5 in their base-6 representation, with at most one exception. If the exception is the most-significant digit, it must be the digit 1, 2, 3, or 4, otherwise the exception must be the digit 4.

1, 2, 3, 4, 5, 11, 17, 23, 29, 34, 35, 71, 107, 143, 179, 209, 214, 215, 431, 647, 863, 1079, 1259, 1289, 1294, 1295, 2591, 3887, 5183, 6479, 7559, 7739, 7769, 7774, 7775, 15551, 23327, 31103, 38879, 45359, 46439, 46619, 46649, 46654, 46655, 93311, 139967

Offset

1,2

Comments

The sequence lists the positive binomial coefficient predictors in base 6. For definition, see paper in link.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..1000

V. Shevelev, Binomial Coefficient Predictors, Journal of Integer Sequences, Vol. 14 (2011), Article 11.2.8

Maple

a:= proc(n) option remember; local i, l, m, t;
      m:= `if`(n=1, 0, a(n-1));
      l:=NULL;
      for t while m>0 do l:=l, irem(m, 6, 'm') od;
      l:= array([l, 0]);
      for i while l[i]=5 do od;
      if l[i]<4 then l[i]:= l[i]+1
                else l[i]:= 5;
                     if i>1 then l[i-1]:= 4 fi
      fi;
      add(l[i] *6^(i-1), i=1..t)
    end:
seq(a(n), n=1..100);  # Alois P. Heinz, Apr 03 2011

Crossrefs

Cf. A089633, A188341, A188499, A188529, A188531.

Sequence in context: A234142 A116068 A104420 * A181288 A255260 A333610

Adjacent sequences: A188529 A188530 A188531 * A188533 A188534 A188535

Keyword

nonn,base

Author

Vladimir Shevelev, Apr 03 2011

Status

approved