id:A115304 - OEIS Search Results

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a(n) = if n<4 then n else 4*a(floor(n/4)) + 3 - n mod 4.

+0
10

1, 2, 3, 7, 6, 5, 4, 11, 10, 9, 8, 15, 14, 13, 12, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 127, 126, 125, 124, 123, 122, 121 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Self-inverse permutation of the natural numbers;` `A115310(n+2,3) = a(n);` `if n is written in base 4 representation, then a(n) is the value after replacing all digits d (but not the leading one) by 3-d.`
	LINKS	`Index entries for sequences that are permutations of the natural numbers`
	CROSSREFS	`Cf. A054429, A115303, A115305, A115306, A115307, A115308, A115309, A106649.` `Sequence in context: A021812 A069772 A098287 this_sequence A098285 A019585 A070964` `Adjacent sequences: A115301 A115302 A115303 this_sequence A115305 A115306 A115307`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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