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A116377 Number of partitions of n into parts with digital root = 7. 10
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 3, 1, 3, 1, 1, 2, 0, 3, 1, 4, 1, 3, 2, 1, 3, 1, 5, 1, 5, 2, 4, 3, 2, 5, 1, 6, 2, 7, 3, 5, 5, 2, 7, 2, 9, 3, 9, 5, 6, 7, 3, 10, 3, 12, 5, 11, 7, 7, 11, 4, 14, 5, 16, 7, 14 (list; graph; refs; listen; history; internal format)
OFFSET

1,32

COMMENTS

a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) - A116375(n) - A116376(n) - A116378(n) - A114099(n).

LINKS

Eric Weisstein's World of Mathematics, Digital Root

EXAMPLE

a(48) = #{34+7+7, 25+16+7, 16+16+16} = 3.

CROSSREFS

Cf. A010888.

A147706. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 11 2008]

Sequence in context: A066620 A025427 A091586 * A131964 A065339 A122434

Adjacent sequences:  A116374 A116375 A116376 * A116378 A116379 A116380

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 12 2006

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Last modified February 14 10:43 EST 2012. Contains 205614 sequences.