



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
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OFFSET

0,1


COMMENTS

A selfinverse 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. 5153.


LINKS

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^1110*x^10+7*x^96*x^85*x^3+6*x^29*x+10) / ((x1)^2*(x^2+1)*(x^8+1)).  Colin Barker, Jun 29 2014


MAPLE



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



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



