|
| |
|
|
A066008
|
|
Number of n-digit positive integers m for which m/(sum of digits of m) is an integer, sometimes referred to as Niven or Harshad numbers.
|
|
3
| |
|
|
9, 23, 180, 1325, 10334, 83556, 710667, 6148698, 54619717, 491432596, 4471325309, 40951585117
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Harshad numbers were named by D. Kaprekar; the word "harshad" in Sanskrit means "giving joy." [From Harvey P. Dale, Nov 08 2011]
|
|
|
LINKS
| S. W. Golomb, Sums and products of digits, IEEE Information Theory Society Newsletter, 51 (No. 3, Sept. 2001), p. 15.
|
|
|
PROG
| (ARIBAS): function a066008(a, b: integer); var n, c, m, j, k: integer; s: string; begin for n := a to b do c := 0; for m := 10^n to 10^(n+1) - 1 do s := itoa(m); k := 0; for j := 0 to length(s) - 1 do k := k + atoi(s[j..j]); end; if m mod k = 0 then inc(c); end; end; write(c, ", "); end; return; end; a066008(0, 7).
|
|
|
CROSSREFS
| Cf. A007953, A034726, A034727.
Sequence in context: A183338 A147420 A057453 * A101058 A161431 A102217
Adjacent sequences: A066005 A066006 A066007 * A066009 A066010 A066011
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 11 2001
|
|
|
EXTENSIONS
| One more term from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 12 2001
a(9)-a(12) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 10 2010
Definition expanded by Harvey P. Dale, Nov 08 2011
|
| |
|
|
