A116373 - OEIS

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A116373

Number of partitions of n into parts with digital root = 3.

0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 3, 0, 0, 4, 0, 0, 4, 0, 0, 5, 0, 0, 6, 0, 0, 7, 0, 0, 8, 0, 0, 10, 0, 0, 11, 0, 0, 13, 0, 0, 15, 0, 0, 17, 0, 0, 19, 0, 0, 23, 0, 0, 26, 0, 0, 29, 0, 0, 33, 0, 0, 38, 0, 0, 42, 0, 0, 48, 0, 0, 54, 0, 0, 61, 0, 0, 68, 0, 0, 77, 0, 0, 85, 0, 0, 96 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,12`
	COMMENTS	`a(n) = A114102(n) - A116371(n) - A116372(n) - A116374(n) - A116375(n) - A116376(n) - A116377(n) - A116378(n) - A114099(n).`
	LINKS	`Eric Weisstein's World of Mathematics, Digital Root`
	FORMULA	`a(n) = A035382(floor(n/3))*0^(n mod 3).`
	EXAMPLE	`a(21) = #{21, 12+3+3+3, 3+3+3+3+3+3+3} = 3.`
	CROSSREFS	`Cf. A010888.` `A147706. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 11 2008]` `Sequence in context: A139032 A095808 A079807 * A096142 A033719 A171608` `Adjacent sequences: A116370 A116371 A116372 * A116374 A116375 A116376`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 12 2006`

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.