A113315 Niven (or Harshad) numbers A005349 divided by the sum of their digits.

1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 4, 2, 10, 7, 4, 3, 10, 4, 10, 7, 5, 4, 10, 6, 10, 7, 10, 8, 10, 9, 7, 10, 100, 34, 12, 55, 37, 28, 19, 13, 40, 14, 22, 19, 15, 28, 16, 25, 19, 17, 13, 18, 19, 20, 19, 16, 13, 11, 100, 67, 34, 23, 19, 70, 24, 55, 37, 28, 25, 19, 46, 26, 40, 27, 19, 28, 29

Offset

1,10

Comments

a(n)=10234 is particularly frequent, it is obtained by the following integers: 102340, 133042, 153510, 184212, 204680, 214914, 225148, 235382, 245616, 255850, 266084, 276318, 286552, 327488, 347956, 378658, 388892,.... Carmine Suriano, May 04 2013

Links

Carmine Suriano, Table of n, a(n) for n = 1..10000

Formula

a(n) = A005349(n)/A007953(A005349(n)). - Michel Marcus, Oct 09 2013

Example

12 is the 11th term of A005349, hence a(11) = 12/(1+2) = 4.

Mathematica

Select[# / DigitSum[#] & /@ Range[300], IntegerQ] (* Amiram Eldar, May 26 2024 *)

Prog

(PARI) lista(nn) = {for (i = 1, nn, if (i % sumdigits(i) == 0, print1(i/sumdigits(i), ", ")); ); } \\ Michel Marcus, Oct 09 2013

Crossrefs

Cf. A005349 (Niven (or Harshad) numbers: numbers that are divisible by the sum of their digits). Cf. also A066355.

Sequence in context: A177390 A082961 A065194 * A081986 A063566 A153690

Adjacent sequences: A113312 A113313 A113314 * A113316 A113317 A113318

Keyword

nonn,base

Author

Amarnath Murthy, Dec 20 2001

Extensions

Corrected, extended and edited by Zak Seidov, Oct 26 2005

Status

approved