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A037478 Number of positive solutions to "numbers that are n times sum of their digits". +0
3
9, 1, 1, 4, 1, 1, 4, 1, 1, 9, 1, 1, 3, 1, 1, 3, 1, 1, 11, 1, 1, 3, 1, 1, 3, 2, 2, 12, 1, 1, 3, 1, 1, 4, 1, 2, 15, 2, 1, 4, 1, 1, 3, 1, 1, 13, 2, 2, 3, 1, 1, 4, 1, 1, 13, 1, 1, 2, 1, 1, 3, 0, 0, 7, 0, 1, 4, 1, 1, 4, 1, 1, 8, 1, 0, 3, 1, 1, 4, 1, 1, 10, 1, 0, 3, 1, 1, 3, 1, 1, 9, 1, 1, 3, 0, 1, 3, 1, 1, 9, 1 (list; graph; listen)
OFFSET

1,1

COMMENT

It appears that the largest terms occur when n=1 mod 9 and moderately large terms when n=4 or 7 mod 9.

EXAMPLE

a(13)=3 since the only three solutions are 117=9*13, 156=12*13 and 195=15*13

CROSSREFS

Cf. A057147, A003634, A005349, A052489, A052490, A003635.

Sequence in context: A068452 A010163 A109012 this_sequence A010162 A072224 A085660

Adjacent sequences: A037475 A037476 A037477 this_sequence A037479 A037480 A037481

KEYWORD

base,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Sep 12 2000

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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