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Search: id:A004483
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| 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 14, 12, 13, 17, 15, 16, 20, 18, 19, 23, 21, 22, 26, 24, 25, 29, 27, 28, 32, 30, 31, 35, 33, 34, 38, 36, 37, 41, 39, 40, 44, 42, 43, 47, 45, 46, 50, 48, 49, 53, 51, 52, 56, 54, 55, 59, 57, 58, 62, 60, 61, 65, 63, 64, 68, 66, 67
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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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.
Also 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.
A. Dress, A. Flammenkamp and N. Pink, Additive periodicity of the Sprague-Grundy function of certain Nim games, Adv. Appl. Math., 22, p. 249-270 (1999).
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FORMULA
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Periodic with period and saltus 3: a(n) = 3[ n/3 ] + ((n+2) mod 3).
a(n)= -2 + Sum_{k=0..n}{1/3*(-2*(k mod 3)-2*((k+1) mod 3)+7*((k+2) mod 3)}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Oct 26 2007
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CROSSREFS
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This sequence is row 2 of table A004481.
Sequence in context: A163940 A112340 A037186 this_sequence A085650 A109450 A086810
Adjacent sequences: A004480 A004481 A004482 this_sequence A004484 A004485 A004486
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Philippe DELEHAM, Nov 20 2007
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