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 A080414 Take the rightmost three binary digits of n (for n<4 padded with leading zeros) and rotate right 1 digit. 4
 0, 4, 1, 5, 2, 6, 3, 7, 8, 12, 9, 13, 10, 14, 11, 15, 16, 20, 17, 21, 18, 22, 19, 23, 24, 28, 25, 29, 26, 30, 27, 31, 32, 36, 33, 37, 34, 38, 35, 39, 40, 44, 41, 45, 42, 46, 43, 47, 48, 52, 49, 53, 50, 54, 51, 55, 56, 60, 57, 61, 58, 62, 59, 63, 64, 68, 65, 69, 66, 70, 67, 71, 72 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS For n>7: a(n) = 8*floor(n/8) + a(n mod 8); permutation of natural numbers with inverse = A080413: A080413(a(n))=n, a(A080413(n))=n; a(a(n))=A080413(n), A080413(A080413(n))=a(n), a(a(a(n)))=n. LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 EXAMPLE a(2)=a('010')='001'=1; a(3)=a('011')='101'=5; a(4)=a('100')='010'=2; a(5)=a('101')='110'=6; a(20)=a('10'100')='10'010'=18; a(21)=a('10'101')='10'110'=22. MATHEMATICA r3bd[n_]:=Module[{a, b}, {a, b}=Reverse[TakeDrop[IntegerDigits[n, 2], -3]]; FromDigits[Join[a, RotateRight[b]], 2]]; Join[{0, 4, 1, 5}, Table[r3bd[n], {n, 4, 80}]] (* Harvey P. Dale, Jul 30 2021 *) CROSSREFS Cf. A007088, A004442, A064429, A080412. Sequence in context: A076063 A035590 A168230 * A067061 A115210 A199150 Adjacent sequences:  A080411 A080412 A080413 * A080415 A080416 A080417 KEYWORD nonn,base AUTHOR Reinhard Zumkeller, Feb 17 2003 STATUS approved

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Last modified September 20 17:42 EDT 2021. Contains 347588 sequences. (Running on oeis4.)