A232234 - OEIS

%I #34 Jun 25 2021 11:46:40

%S 0,2,6,12,22,34,50,68,88,110,144,170,212,254,302,354,398,432,492,566,

%T 666,712,744,850,960,984,1106

%N 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).

%C By definition, these terms are twice the terms of A003022, see comment there. - _Bernd Mulansky_, Jun 25 2021

%C 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

%C 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

%H Fausto A. C. Cariboni, <a href="/A232234/a232234.txt">All additive bases that yield a(n) for n = 2..17</a>, Dec 31 2017.

%H Z. Skupien and A. Zak, Pair-sums packing and rainbow cliques, in <a href="http://www.math.uiuc.edu/~kostochk/Zykov90-Topics_in_Graph_Theory.pdf">Topics In Graph Theory</a>, 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).

%Y These terms are twice the terms of A003022.

%Y See A004133 for another version.

%K nonn,more

%O 1,2

%A _N. J. A. Sloane_, Nov 24 2013

%E a(16) from _Fausto A. C. Cariboni_, Nov 01 2017

%E a(17) from _Fausto A. C. Cariboni_, Nov 26 2017

%E a(18)-a(27) added by _Bernd Mulansky_, Jun 25 2021