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Sum of remainders when n is divided by its nonzero digits.

+0
2

0, 0, 0, 1, 2, 0, 4, 3, 2, 1, 0, 1, 0, 3, 0, 1, 2, 7, 4, 3, 0, 1, 2, 0, 3, 2, 0, 3, 8, 3, 0, 1, 2, 4, 0, 1, 6, 8, 0, 5, 0, 1, 2, 5, 6, 0, 3, 3, 5, 9, 0, 1, 2, 3, 4, 5, 0, 5, 6, 9, 0, 1, 2, 4, 6, 5, 10, 0, 7, 9, 0, 1, 2, 5, 4, 5, 8, 10, 0, 9, 0, 1, 2, 3, 6, 5, 6, 13, 10, 0, 0 (list; graph; listen)

	OFFSET	`10,5`
	COMMENT	`a(n) = 0 for 0 < n 10.`
	EXAMPLE	`a(14)= 2 as 1 divides 14 and 2 is the remainder obtained when 14 is divided by 4.`
	MATHEMATICA	`Table[Plus @@ Mod[n, Select[IntegerDigits[n], # != 0 &]], {n, 10, 100}]`
	CROSSREFS	`Sequence in context: A133168 A145382 A078909 this_sequence A088330 A122512 A128263` `Adjacent sequences: A067455 A067456 A067457 this_sequence A067459 A067460 A067461`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Feb 07 2002`
	EXTENSIONS	`Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 11 2002`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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