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

1,10

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

Cf. A005349, A082517.

Sequence in context: A049061 A342670 A298782 * A318709 A204935 A008905

Adjacent sequences: A082513 A082514 A082515 * A082517 A082518 A082519

Keyword

base,easy,nonn

Author

Jason Earls, Apr 30 2003

Extensions

Definition modified by Harvey P. Dale, Aug 02 2018

Status

approved