id:A064216 - OEIS Search Results

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Inverse of sequence A048673 considered as a permutation of the natural numbers.

+0
4

1, 2, 3, 5, 4, 7, 11, 6, 13, 17, 10, 19, 9, 8, 23, 29, 14, 15, 31, 22, 37, 41, 12, 43, 25, 26, 47, 21, 34, 53, 59, 20, 33, 61, 38, 67, 71, 18, 35, 73, 16, 79, 39, 46, 83, 55, 58, 51, 89, 28, 97, 101, 30, 103, 107, 62, 109, 57, 44, 65, 49, 74, 27, 113, 82, 127, 85, 24, 131 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(A003961(n) + 1) / 2) = n and A003961(a(n)) = 2n + 1 for all n. At odd numbers a is multiplicative: a(2x - 1) a(2y - 1) = a(((2x - 1) * (2y - 1) + 1) / 2) for x, y > 0. - Zumkeller.` `Not multiplicative in usual sense - but letting m=2n-1=product_j (p_j)^(e_j) then a(n)=a((m+1)/2)=product_j (p_(j-1))^(e_j). - Henry Bottomley (se16(AT)btinternet.com), Apr 15 2005`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	CROSSREFS	`Cf. A048673, A003961.` `Sequence in context: A065578 A126918 A064620 this_sequence A075300 A028691 A089557` `Adjacent sequences: A064213 A064214 A064215 this_sequence A064217 A064218 A064219`
	KEYWORD	`easy,nonn`
	AUTHOR	`Howard A. Landman (howard(AT)polyamory.org), Sep 21 2001`
	EXTENSIONS	`More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 26 2001`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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