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A154701 3 consecutive Harshad numbers: for each n in this series n, n+1 and n+2 are Harshad numbers. 0
1, 2, 3, 4, 5, 6, 7, 8, 110, 510, 511, 1010, 1014, 1015, 2022, 2023, 2464, 3030, 3031, 4912, 5054, 5831, 7360, 8203, 9854, 10010, 10094, 10307, 10308, 11645, 12102, 12103, 12255, 12256, 13110, 13111, 13116, 13880, 14704, 15134, 17152, 17575, 18238, 19600, 19682 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Harshad numbers are also known as Niven numbers.

LINKS

Wikipedia, Harshad number

PROG

(C) #include <stdio.h>

#include <conio.h>

int is_harshad(int n){

  int i, j, count=0;

  i=n;

  while(i>0){

    count=count+i%10;

    i=i/10;

  }

  return n%count==0?1:0;

}

main(){

  int k;

  clrscr();

  for(k=1; k<=30000; k++)

    if(is_harshad(k)&&is_harshad(k+1)&&is_harshad(k+2))

      printf("%d, ", k);

  getch();

  return 0;

}

CROSSREFS

A subset of A005349

Sequence in context: A098755 A028430 A171717 * A004870 A037336 A037443

Adjacent sequences:  A154698 A154699 A154700 * A154702 A154703 A154704

KEYWORD

nonn,base

AUTHOR

Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 14 2009, Jan 15 2009

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Last modified February 14 15:39 EST 2012. Contains 205635 sequences.