id:A114102 - OEIS Search Results

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Number of partitions of n such that all parts of a partition have the same digital root.

+0
11

1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 3, 7, 4, 5, 7, 6, 5, 8, 5, 8, 11, 8, 7, 16, 9, 10, 13, 12, 10, 22, 11, 15, 23, 16, 16, 26, 16, 18, 32, 22, 21, 41, 24, 27, 40, 28, 26, 55, 30, 36, 59, 40, 38, 65, 41, 45, 77, 48, 51, 95, 57, 60, 97, 66, 63, 119, 68, 80, 131, 89, 85, 150, 91, 96, 166, 104 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = A116371(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(10) = #{10, 5+5, 2+2+2+2+2, 1+1+1+1+1+1+1+1+1+1} = 4.`
	CROSSREFS	`Cf. A010888.` `Sequence in context: A122668 A073668 A066800 this_sequence A144373 A086292 A076640` `Adjacent sequences: A114099 A114100 A114101 this_sequence A114103 A114104 A114105` `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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