

A069527


Smallest multiple of n with digit sum = 8, or 0 if no such number exists, e.g. a(3k)= 0.


4



8, 8, 0, 8, 35, 0, 35, 8, 0, 80, 44, 0, 26, 224, 0, 80, 17, 0, 152, 80, 0, 44, 161, 0, 125, 26, 0, 224, 116, 0, 62, 224, 0, 170, 35, 0, 0, 152, 0, 80, 1025, 0, 215, 44, 0, 1610, 611, 0, 1421, 350, 0, 260, 53, 0, 440, 224, 0, 116, 413, 0, 305, 62, 0, 512, 260, 0, 134, 1700, 0
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OFFSET

1,1


COMMENTS

The number ABCDEF (A through F are digits) is divisible by 37 if the number XYZ (where X=A+D, Y=B+E, Z=C+F) is divisible by 37. If the digit sum of XYZ is S, then the digit sum of ABCDEF is S+9k for some k. A quick check of all multiples of 37 with three or fewer digits shows that none have a digit sum of 8. Thus no multiple of 37 has a digit sum of 8 and a(37) is undefined as is a(37p) for all p.  Christopher Lund (clund(AT)san.rr.com), Apr 16 2002


LINKS

Table of n, a(n) for n=1..69.
a(n) = n*A088397(n).


CROSSREFS

Cf. A069521, A069522, A069523, A069524, A069525, A069526.
Sequence in context: A144802 A275477 A019960 * A154492 A324686 A155840
Adjacent sequences: A069524 A069525 A069526 * A069528 A069529 A069530


KEYWORD

base,nonn


AUTHOR

Amarnath Murthy, Apr 01 2002


EXTENSIONS

More terms from Christopher Lund (clund(AT)san.rr.com), Apr 16 2002


STATUS

approved



