A175928 Number of bases in which the concatenation of the consecutive increasing integers 1...n is greater than the concatenation of consecutive decreasing integers n...1 in the same base.

1, 1, 3, 3, 4, 3, 4, 5, 5, 5, 5, 5, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7

Offset

2,3

Links

Table of n, a(n) for n=2..106.

Mathematica

Table[Count[ Table[Negative[FromDigits[Flatten[IntegerDigits[Reverse[Range[x]], ba]], \ ba] - FromDigits[Flatten[IntegerDigits[Range[x], ba]], ba]], {ba, 2, x + 1}], True], {x, 1, 200}]

Crossrefs

Sequence in context: A243341 A238856 A096139 * A161357 A138372 A316662

Adjacent sequences: A175925 A175926 A175927 * A175929 A175930 A175931

Keyword

base,nonn

Author

Dylan Hamilton, Oct 20 2010

Status

approved