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
Reinhard Zumkeller, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,-1).
FORMULA
a(n) = n + (-1)^n + 16(-1)^[n/16]. - Mitchell Harris, Jan 10 2005
G.f.: (17-x-14*x^2-15*x^16-x^17+18*x^18) / ((1-x)^2*(1+x)*(1+x^16)). - Colin Barker, Apr 12 2016
a(n) = n XOR 17. - Michel Marcus, Apr 12 2016
PROG
(Haskell)
import Data.Bits (xor)
a004458 n = n `xor` 17 :: Integer -- Reinhard Zumkeller, Nov 07 2012
(PARI) Vec((17-x-14*x^2-15*x^16-x^17+18*x^18)/((1-x)^2*(1+x)*(1+x^16)) + O(x^50)) \\ Colin Barker, Apr 12 2016
(PARI) a(n) = n + (-1)^n + 16*(-1)^(n\16); \\ Michel Marcus, Apr 12 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved