id:A065371 - OEIS Search Results

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a(1) = 1, a(prime(i)) = prime(i) - i for i > 0 and a(u * v) = a(u) * a(v) for u, v > 0.

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1, 1, 1, 1, 2, 1, 3, 1, 1, 2, 6, 1, 7, 3, 2, 1, 10, 1, 11, 2, 3, 6, 14, 1, 4, 7, 1, 3, 19, 2, 20, 1, 6, 10, 6, 1, 25, 11, 7, 2, 28, 3, 29, 6, 2, 14, 32, 1, 9, 4, 10, 7, 37, 1, 12, 3, 11, 19, 42, 2, 43, 20, 3, 1, 14, 6, 48, 10, 14, 6, 51, 1, 52, 25, 4, 11, 18, 7, 57, 2, 1, 28, 60, 3, 20, 29 (list; graph; listen)

	OFFSET	`1,5`
	COMMENT	`a(n) > 0 and a(n) < n for all n > 1.`
	EXAMPLE	`a(210) = a(2357) = a(2)a(3)a(5)a(7) = (prime(1)-1)(prime(2)-2)(prime(3)-3)(prime(4)-4) = (2-1)(3-2)(5-3)(7-4) = 112*3 = 6.`
	CROSSREFS	`A000040, A014689, A065372, A065373, A065374.` `Adjacent sequences: A065368 A065369 A065370 this_sequence A065372 A065373 A065374` `Sequence in context: A007740 A117811 A051793 this_sequence A006346 A088742 A144220`
	KEYWORD	`mult,nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 01 2001`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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