id:A084455 - OEIS Search Results

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Permutation of Z, obtained by reflecting the juggling sequence A084452 from positive to negative numbers (with zero thrown at beat 0), folded to N with functions N2Z and Z2N.

+0
8

1, 10, 2, 12, 4, 14, 6, 8, 9, 20, 3, 22, 5, 24, 7, 16, 17, 18, 19, 32, 11, 28, 13, 34, 15, 26, 27, 38, 23, 30, 31, 44, 21, 46, 25, 36, 37, 50, 29, 40, 41, 42, 43, 58, 33, 52, 35, 48, 49, 62, 39, 64, 47, 54, 55, 56, 57, 72, 45, 60, 61, 74, 51, 76, 53, 66, 67, 68, 69, 70, 71, 86 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`This permutation consists of three infinite cycles + infinite number of fixed points.`
	LINKS	`A. Karttunen, Scheme-program for computing this sequence` `Index entries for sequences that are permutations of the natural numbers`
	MAPLE	`[seq(Z2N(A084455_Z2Z(N2Z(n))), n=1..45)];` `N2Z := n -> ((-1)^n)floor(n/2);` Z2N := z -> 2abs(z)+`if`((z < 1), 1, 0); A084455_Z2Z := z -> z+`if`((z > 0), A084452(z), `if`((z >= -3), 2*(-z), A084452(A084454((-z)-3))));
	CROSSREFS	`Inverse: A084466. Cf. also A084454, A084461, A084491, A084495, A084499, A065166.` `Sequence in context: A155817 A037922 A111287 this_sequence A069532 A084461 A005483` `Adjacent sequences: A084452 A084453 A084454 this_sequence A084456 A084457 A084458`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (my_firstname.my_surname(AT)iki.fi) Jun 02 2003`

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.

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