

A065877


NonNiven (or nonHarshad) numbers: numbers which are not a multiple of the sum of their digits.


8



11, 13, 14, 15, 16, 17, 19, 22, 23, 25, 26, 28, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 46, 47, 49, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 64, 65, 66, 67, 68, 69, 71, 73, 74, 75, 76, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101
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OFFSET

1,1


COMMENTS

A188641(a(n)) = 0; A070635(a(n)) > 0. [Reinhard Zumkeller, Apr 07 2011]


LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1000


EXAMPLE

13 is in the list because 13 is not a multiple of 1 + 3 = 4.


MATHEMATICA

Select[Range[101], !IntegerQ[#/Total[IntegerDigits[#]]] &] (* Jayanta Basu, May 05 2013 *)


PROG

(PARI) SumD(x)= { local(s=0); while (x>9, s+=x%10; x\=10); return(s + x) } { n=0; for (m=1, 10^9, if (m%SumD(m), write("b065877.txt", n++, " ", m); if (n==1000, return)) ) } \\ Harry J. Smith, Nov 03 2009
(Haskell)
import Data.List (findIndices)
a065877 n = a065877_list !! (n1)
a065877_list = map succ $ findIndices (> 0) $ map a070635 [1..]
 Reinhard Zumkeller, Apr 07 2011


CROSSREFS

Complement of A005349. Cf. A003635, A007953, A065878.
Cf. A188643.
Sequence in context: A043645 A043700 A111634 * A290468 A129917 A102577
Adjacent sequences: A065874 A065875 A065876 * A065878 A065879 A065880


KEYWORD

base,nonn


AUTHOR

Henry Bottomley, Nov 26 2001


STATUS

approved



