The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A004451 Nimsum n + 10. 1
 10, 11, 8, 9, 14, 15, 12, 13, 2, 3, 0, 1, 6, 7, 4, 5, 26, 27, 24, 25, 30, 31, 28, 29, 18, 19, 16, 17, 22, 23, 20, 21, 42, 43, 40, 41, 46, 47, 44, 45, 34, 35, 32, 33, 38, 39, 36, 37, 58, 59, 56, 57, 62, 63, 60, 61, 50, 51 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS A self-inverse permutation of the natural numbers. - Philippe Deléham, Nov 22 2016 REFERENCES E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 60. J. H. Conway, On Numbers and Games. Academic Press, NY, 1976, pp. 51-53. LINKS Table of n, a(n) for n=0..57. Index entries for sequences related to Nim-sums Index entries for linear recurrences with constant coefficients, signature (2,-2,2,-1,0,0,0,-1,2,-2,2,-1). FORMULA a(n) = n + 2(-1)^floor(n/2) + 8(-1)^floor(n/8). - Mitchell Harris, Jan 10 2005 G.f.: (11*x^11-10*x^10+7*x^9-6*x^8-5*x^3+6*x^2-9*x+10) / ((x-1)^2*(x^2+1)*(x^8+1)). - Colin Barker, Jun 29 2014 MAPLE A004451:=n->n + 2*(-1)^floor(n/2) + 8*(-1)^floor(n/8); seq(A004451(n), n=0..50); # Wesley Ivan Hurt, Jun 29 2014 MATHEMATICA Table[n + 2 (-1)^Floor[n/2] + 8 (-1)^Floor[n/8], {n, 0, 50}] (* Wesley Ivan Hurt, Jun 29 2014 *) LinearRecurrence[{2, -2, 2, -1, 0, 0, 0, -1, 2, -2, 2, -1}, {10, 11, 8, 9, 14, 15, 12, 13, 2, 3, 0, 1}, 100] (* Harvey P. Dale, Jul 02 2019 *) PROG (Magma) [n + 2*(-1)^Floor(n/2) + 8*(-1)^Floor(n/8) : n in [0..50]]; // Wesley Ivan Hurt, Jun 29 2014 CROSSREFS Sequence in context: A105743 A105835 A083163 * A352390 A004499 A020509 Adjacent sequences: A004448 A004449 A004450 * A004452 A004453 A004454 KEYWORD nonn,easy AUTHOR N. J. A. Sloane 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 December 7 18:28 EST 2023. Contains 367660 sequences. (Running on oeis4.)