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A004482
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Tersum n + 1 (answer recorded in base 10).
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10
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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
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0,2
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COMMENTS
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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.
Sprague-Grundy values for game of Wyt Queens.
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REFERENCES
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E. R. Berlekamp, J. H. Conway and R. K. Guy, Winning Ways, Academic Press, NY, 2 vols., 1982, see p. 76.
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LINKS
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FORMULA
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Periodic with period 3 and saltus 3: a(n) = 3*floor(n/3) + ((n+1) mod 3).
Sum_{n>=3} (-1)^(n+1)/a(n) = 1/2 - log(2)/3. - Amiram Eldar, Aug 21 2023
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MATHEMATICA
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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 *)
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CROSSREFS
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This sequence is row 1 of table A004481.
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KEYWORD
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nonn,easy,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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