

A004482


Tersum n + 1 (answer recorded in base 10).


3



1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 13, 14, 12, 16, 17, 15, 19, 20, 18, 22, 23, 21, 25, 26, 24, 28, 29, 27, 31, 32, 30, 34, 35, 33, 37, 38, 36, 40, 41, 39, 43, 44, 42, 46, 47, 45, 49, 50, 48, 52, 53, 51, 55, 56, 54, 58, 59, 57, 61, 62
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OFFSET

0,2


COMMENTS

SpragueGrundy values for game of Wyt Queens.


REFERENCES

E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.


LINKS

Table of n, a(n) for n=0..61.
A. Dress, A. Flammenkamp and N. Pink, Additive periodicity of the SpragueGrundy function of certain Nim games, Adv. Appl. Math., 22, p. 249270 (1999).
Index entries for linear recurrences with constant coefficients, signature (1, 0, 1, 1).


FORMULA

Tersum m + n: write m and n in base 3 and add mod 3 with no carries, e.g. 5 + 8 = "21" + "22" = "10" = 1.
Periodic with period 3 and saltus 3: a(n) = 3[ n/3 ] + ((n+1) mod 3).
a(n)= 3 + Sum_{k=0..n}{1/3*(5*(k mod 3)+4*((k+1) mod 3)+4*((k+2) mod 3)}, with n>=0  Paolo P. Lava, Dec 03 2007


MATHEMATICA

LinearRecurrence[{1, 0, 1, 1}, {1, 2, 0, 4}, 70] (* or *) Table[3*Floor[n/3]+ Mod[ n+1, 3], {n, 0, 70}] (* Harvey P. Dale, Nov 29 2014 *)


CROSSREFS

This sequence is row 1 of table A004481.
A061347(n+1) + n.
Sequence in context: A258100 A173335 A201837 * A111677 A276331 A049271
Adjacent sequences: A004479 A004480 A004481 * A004483 A004484 A004485


KEYWORD

nonn,easy,base


AUTHOR

N. J. A. Sloane.


EXTENSIONS

More terms from Erich Friedman.


STATUS

approved



