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A116376 Number of partitions of n into parts with digital root = 6. +0
12
0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 3, 0, 0, 2, 0, 0, 3, 0, 0, 3, 0, 0, 4, 0, 0, 4, 0, 0, 6, 0, 0, 5, 0, 0, 7, 0, 0, 7, 0, 0, 9, 0, 0, 9, 0, 0, 12, 0, 0, 11, 0, 0, 15, 0, 0, 15, 0, 0, 18, 0, 0, 19, 0, 0, 23, 0, 0, 23, 0, 0, 29, 0, 0, 29, 0, 0, 35, 0, 0, 37 (list; graph; listen)
OFFSET

1,24

COMMENT

a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) - A116375(n) - A116377(n) - A116378(n) - A114099(n).

LINKS

Eric Weisstein's World of Mathematics, Digital Root

FORMULA

a(n) = A035386(floor(n/3))*0^(n mod 3).

EXAMPLE

a(30) = #{24+6, 15+15, 6+6+6+6+6} = 3.

CROSSREFS

Cf. A010888.

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

Sequence in context: A023670 A126030 A111373 this_sequence A165766 A102082 A030199

Adjacent sequences: A116373 A116374 A116375 this_sequence A116377 A116378 A116379

KEYWORD

nonn,base

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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