The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A159966 Lodumo_4 of A102370 (sloping binary numbers). 4
 0, 3, 2, 1, 4, 7, 6, 5, 8, 11, 10, 9, 12, 15, 14, 13, 16, 19, 18, 17, 20, 23, 22, 21, 24, 27, 26, 25, 28, 31, 30, 29, 32, 35, 34, 33, 36, 39, 38, 37, 40, 43, 42, 41, 44, 47, 46, 45, 48, 51, 50, 49, 52, 55, 54, 53, 56, 59, 58, 57, 60, 63, 62, 61, 64, 67, 66, 65, 68, 71, 70, 69, 72 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A permutation of the nonnegative integers. A092486 preceded by a zero. - Philippe Deléham, May 05 2009 Fixed points are the even numbers. - Wesley Ivan Hurt, Oct 16 2015 LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 OEIS wiki, Lodumo transform. Index entries for linear recurrences with constant coefficients, signature (2,-2,2,-1). Index entries for sequences that are permutations of the natural numbers. FORMULA a(n) = lod_4 (A102370(n)). From Wesley Ivan Hurt, Oct 16 2015: (Start) G.f.: (3*x-4*x^2+3*x^3)/((x-1)^2*(1+x^2)). a(n) = 2*a(n-1)-2*a(n-2)+2*a(n-3)-a(n-4), n>3. a(n) = n-(1-(-1)^n)*(-1)^((2*n+1-(-1)^n)/4). a(2n) = A005843(n); a(2n+1) = A166549(n). a(n+1) - a(n) = A132429(n)*(-1)^n. (End) Sum_{n>=1} (-1)^(n+1)/a(n) = log(2) (A002162). - Amiram Eldar, Nov 28 2023 MAPLE A159966:=n->n-(1-(-1)^n)*(-1)^((2*n+1-(-1)^n)/4): seq(A159966(n), n=0..100); # Wesley Ivan Hurt, Oct 16 2015 MATHEMATICA Table[n - (1 - (-1)^n) (-1)^((2 n + 1 - (-1)^n)/4), {n, 0, 40}] (* or *) CoefficientList[Series[(3 x - 4 x^2 + 3 x^3)/((x - 1)^2 (1 + x^2)), {x, 0, 100}], x] (* Wesley Ivan Hurt, Oct 16 2015 *) LinearRecurrence[{2, -2, 2, -1}, {0, 3, 2, 1}, 80] (* Harvey P. Dale, Jul 02 2022 *) PROG (Magma) [n-(1-(-1)^n)*(-1)^((2*n+1-(-1)^n) div 4) : n in [0..100]]; // Wesley Ivan Hurt, Oct 16 2015 (PARI) concat(0, Vec((3*x-4*x^2+3*x^3)/((x-1)^2*(1+x^2)) + O(x^100))) \\ Altug Alkan, Oct 17 2015 CROSSREFS Cf. A002162, A005843, A102370, A132429, A158459, A166549. Sequence in context: A348013 A105033 A092486 * A119263 A028412 A156699 Adjacent sequences: A159963 A159964 A159965 * A159967 A159968 A159969 KEYWORD easy,nonn,less,base AUTHOR Philippe Deléham, Apr 28 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 23 14:50 EDT 2024. Contains 372763 sequences. (Running on oeis4.)