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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; text; 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, Nov 11 2008]
Sequence in context: A091586 A363037 A330667 * A131964 A356241 A091430
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Feb 12 2006
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)