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A116371 Number of partitions of n into parts with digital root = 1. +0
11
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 7, 7, 7, 7, 7, 7, 7, 8, 10, 11, 12, 12, 12, 12, 12, 12, 13, 15, 17, 18, 19, 19, 19, 19, 19, 20, 23, 26, 28, 29, 30, 30, 30, 30, 31, 34, 38, 41, 43, 44, 45, 45, 45, 46, 50, 55, 60, 63, 65, 66, 67, 67, 68 (list; graph; listen)
OFFSET

1,10

COMMENT

a(n) = A114102(n) - A116372(n) - A116373(n) - A116374(n) - A116375(n) - A116376(n) - A116377(n) - A116378(n) - A114099(n).

LINKS

Eric Weisstein's World of Mathematics, Digital Root

EXAMPLE

a(19) = #{19, 10+1+1+1+1+1+1+1+1+1, [19]*1} = 3.

CROSSREFS

Cf. A010888.

Sequence in context: A133879 A054898 A102682 this_sequence A103377 A103817 A145992

Adjacent sequences: A116368 A116369 A116370 this_sequence A116372 A116373 A116374

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

KEYWORD

nonn,base

AUTHOR

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

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.


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