A086705 Decimal expansion of a constant related to Niven numbers.

1, 1, 9, 3, 9, 3, 3, 0, 1, 1, 1, 8, 2, 0, 9, 7, 7, 6, 2, 0, 8, 3, 4, 0, 2, 9, 7, 6, 5, 0, 3, 0, 0, 3, 6, 6, 3, 2, 0, 0, 5, 7, 1, 1, 4, 2, 2, 5, 1, 9, 5, 6, 3, 5, 7, 9, 4, 3, 2, 0, 7, 0, 5, 9, 7, 6, 0, 9, 6, 3, 5, 7, 5, 3, 8, 8, 2, 5, 6, 8, 4, 1, 6, 0, 3, 8, 5, 0, 4, 0, 2, 6, 3, 9, 0, 5, 0, 9, 6, 9, 5, 1, 0, 6, 4

Offset

1,3

Comments

The number N(x) of Niven numbers less than x is given by N(x) = (c+o(1))*x/log(x).

Links

Table of n, a(n) for n=1..105.

Jean-Marie De Koninck and Nicolas Doyon, Large and Small Gaps Between Consecutive Niven Numbers, J. Integer Seqs., Vol. 6, (2003), Article 03.2.5.

Formula

c = (14/27)*log(10).

Example

1.1939330111820977620834029765030036632005711422519563579432....

Mathematica

RealDigits[14*Log[10]/27, 10, 100][[1]] (* Amiram Eldar, May 20 2022 *)

Prog

(PARI) (14/27)*log(10) \\ Michel Marcus, Jan 15 2018

Crossrefs

Cf. A005349.

Sequence in context: A159467 A198608 A273637 * A199866 A276558 A196829

Adjacent sequences: A086702 A086703 A086704 * A086706 A086707 A086708

Keyword

cons,nonn

Author

Benoit Cloitre, Jul 28 2003

Status

approved