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A101814 Even Niven (or Harshad) numbers: even numbers that are divisible by the sum of their digits. 1
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; refs; listen; history; internal format)
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 * A034090 A146344 A162763

Adjacent sequences:  A101811 A101812 A101813 * A101815 A101816 A101817

KEYWORD

nonn,base

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Dec 16 2004

EXTENSIONS

Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Aug 03 2010

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Last modified February 16 03:44 EST 2012. Contains 205860 sequences.