|
Search: id:A101814
|
|
|
| A101814 |
|
Even Niven (or Harshad) numbers: even numbers that are divisible by the sum of their digits. |
|
+0
2
|
|
| 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 40, 42, 48, 50, 54, 60, 70, 72, 80, 84, 90, 100, 102, 108, 110, 112, 114, 120, 126, 132, 140, 144, 150, 152, 156, 162, 180, 190, 192, 198, 200, 204, 210, 216, 220, 222, 224, 228, 230, 234, 240, 252, 264, 266, 270, 280, 288
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
R. K. Guy, The second strong law of small numbers. Math. Mag. 63 (1990), no. 1, 3-20.
D. Wells, The Penguin Dictionary of Curious and Interesting Numbers. Penguin Books, NY, 1986, 171.
|
|
EXAMPLE
|
216 is a term of the sequence because it is even and divisible by 9 (=2+1+6).
|
|
MAPLE
|
s:=proc(n) local N:N:=convert(n, base, 10):sum(N[j], j=1..nops(N)) end:p:=proc(n) if floor(n/s(n))=n/s(n) then n else fi end: seq(p(2*n), n=1..161);
|
|
CROSSREFS
|
Cf. A005349, A101813.
Sequence in context: A112421 A022483 A100180 this_sequence A034090 A146344 A113242
Adjacent sequences: A101811 A101812 A101813 this_sequence A101815 A101816 A101817
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 16 2004
|
|
|
Search completed in 0.002 seconds
|
