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 A260999 Maximal size of a subset of Z_n with distinct sums of any two elements. 4
 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Fausto A. C. Cariboni, Table of n, a(n) for n = 1..295 Fausto A. C. Cariboni, Sets that yield a(n) for n = 2..295, Jan 27 2018. H. Haanpaa, A. Huima and Patric R. J. Östergård, Sets in Z_n with Distinct Sums of Pairs, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106. [Annotated scanned copies of four pages only from preprint of paper] H. Haanpaa, A. Huima and Patric R. J. Östergård, Sets in Z_n with Distinct Sums of Pairs, in Optimal discrete structures and algorithms (ODSA 2000). Discrete Appl. Math. 138 (2004), no. 1-2, 99-106. FORMULA By the pigeonhole principle, C(a(n)+1,2) <= n, yielding upper bound a(n) <= floor((-1+sqrt(8*n+1))/2). - Rob Pratt, Nov 27 2017 CROSSREFS Cf. A004135, A004136, A260998. Sequence in context: A064601 A023967 A278163 * A090532 A003058 A000194 Adjacent sequences:  A260996 A260997 A260998 * A261000 A261001 A261002 KEYWORD nonn AUTHOR N. J. A. Sloane, Aug 10 2015 EXTENSIONS More terms from Rob Pratt, Nov 27 2017 STATUS approved

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Last modified February 18 04:48 EST 2020. Contains 332011 sequences. (Running on oeis4.)