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A004444 Nimsum n + 3. 3
3, 2, 1, 0, 7, 6, 5, 4, 11, 10, 9, 8, 15, 14, 13, 12, 19, 18, 17, 16, 23, 22, 21, 20, 27, 26, 25, 24, 31, 30, 29, 28, 35, 34, 33, 32, 39, 38, 37, 36, 43, 42, 41, 40, 47, 46, 45, 44, 51, 50, 49, 48, 55, 54, 53, 52, 59, 58 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The same as A120634 except for first 3 terms. - Pietro Battiston, Jan 19 2008

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

FORMULA

G.f.: (4x^4-x^3-x^2-x+3)/((x-1)^2*(x+1)*(x^2+1)). - Ralf Stephan, Nov 01 2003

a(n) = n + (-1)^n + 2(-1)^[n/2]. - Mitchell Harris, Jan 10 2005

MATHEMATICA

CoefficientList[Series[(4x^4-x^3-x^2-x+3)/((x-1)^2(x+1) (x^2+1)), {x, 0, 70}], x] (* Harvey P. Dale, Mar 24 2011 *)

CROSSREFS

Sequence in context: A098825 A111460 A035327 * A204533 A246654 A085771

Adjacent sequences:  A004441 A004442 A004443 * A004445 A004446 A004447

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 26 03:37 EST 2014. Contains 250017 sequences.