id:A114099 - OEIS Search Results

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Number of partitions of n into parts with digital root = 9.

+0
12

0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,18`
	COMMENT	`a(n) = A114102(n) - A116371(n) - A116372(n) - A116373(n) - A116374(n) - A116375(n) - A116376(n) - A116377(n) - A116378(n).`
	LINKS	`Eric Weisstein's World of Mathematics, Digital Root`
	FORMULA	`a(n) = A000041(floor(n/9))*0^(n mod 9).`
	EXAMPLE	`a(27) = #{27, 18+9, 9+9+9} = 3.`
	CROSSREFS	`Cf. A010888.` `A147706. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 11 2008]` `Sequence in context: A004530 A084863 A073346 this_sequence A028613 A024362 A104488` `Adjacent sequences: A114096 A114097 A114098 this_sequence A114100 A114101 A114102`
	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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