A082516 - OEIS

A082516

Differences between consecutive Niven (or Harshad) numbers.

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 2, 1, 3, 3, 3, 6, 4, 2, 3, 3, 2, 4, 6, 3, 7, 2, 8, 1, 3, 6, 10, 2, 6, 2, 1, 1, 2, 3, 3, 6, 6, 1, 2, 5, 4, 6, 2, 1, 3, 6, 9, 9, 10, 2, 3, 3, 2, 1, 3, 3, 2, 1, 6, 4, 2, 2, 1, 3, 2, 4, 6, 3, 4, 5, 9, 3, 2, 4, 10, 5, 3, 12, 6, 2, 4, 3, 5, 2, 2, 6, 3, 3, 6, 9, 9, 4, 6, 2, 3, 3, 14, 4, 3

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,10

COMMENTS

This sequence is unbounded since the asymptotic density of the Niven numbers is 0. - Amiram Eldar, Oct 21 2020

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A005349(n+1) - A005349(n). - Amiram Eldar, Oct 21 2020

MATHEMATICA

Differences[Select[Range[500], Divisible[#, Total[IntegerDigits[#]]]&]] (* Harvey P. Dale, Aug 02 2018 *)

CROSSREFS