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A232234 Additive bases: a(n) is the least integer such that there is an n-element set of nonnegative integers, the sums of pairs of which are distinct and at most a(n). 2
0, 2, 6, 12, 22, 34, 50, 68, 88, 110, 144, 170, 212, 254, 302, 354, 398, 432, 492, 566, 666, 712, 744, 850, 960, 984, 1106 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
By definition, these terms are twice the terms of A003022, see comment there. - Bernd Mulansky, Jun 25 2021
Lexicographically first basis that yields a(16) = 354 is {0,1,4,11,26,32,56,68,76,115,117,134,150,163,168,177}. - Fausto A. C. Cariboni, Nov 01 2017
Lexicographically first basis that yields a(17) = 398 is {0,5,7,17,52,56,67,80,81,100,122,138,159,165,168,191,199}. - Fausto A. C. Cariboni, Nov 26 2017
LINKS
Fausto A. C. Cariboni, All additive bases that yield a(n) for n = 2..17, Dec 31 2017.
Z. Skupien and A. Zak, Pair-sums packing and rainbow cliques, in Topics In Graph Theory, A tribute to A. A. and T. E. Zykovs on the occasion of A. A. Zykov's 90th birthday, ed. R. Tyshkevich, Univ. Illinois, 2013, pages 131-144 (in English and Russian).
CROSSREFS
These terms are twice the terms of A003022.
See A004133 for another version.
Sequence in context: A126428 A187490 A147623 * A045964 A005819 A322072
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Nov 24 2013
EXTENSIONS
a(16) from Fausto A. C. Cariboni, Nov 01 2017
a(17) from Fausto A. C. Cariboni, Nov 26 2017
a(18)-a(27) added by Bernd Mulansky, Jun 25 2021
STATUS
approved

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Last modified March 28 17:42 EDT 2024. Contains 371254 sequences. (Running on oeis4.)