

A113315


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


9



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
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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.


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



