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

Offset: 1

Author

Jason Earls, Apr 30 2003

Keywords

• base
• easy
• nonn

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

Crossrefs

Cf. A005349, A082517.

Programs

Mathematica

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

Formula

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

Extensions

Definition modified by Harvey P. Dale, Aug 02 2018