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A060020 Maximal size of a nonspanning subset of any Abelian group of order n. 2

%I #9 Oct 20 2022 16:26:00

%S 1,2,3,3,4,4,5,5,5,6,6,6,7,7,8,7,9,8,10,8,11,9,12,9,13,10,14,10,15,10,

%T 16,12,17,11,18,11,19,14,20,12,21,12,22,16,23,13,24

%N Maximal size of a nonspanning subset of any Abelian group of order n.

%D J. R. Griggs (griggs(AT)math.sc.edu), personal communication, Apr 24, 2001.

%H J. R. Griggs, <a href="http://dx.doi.org/10.1016/S0012-365X(00)00203-X">Spanning subset sums for finite Abelian groups</a>, Discrete Math., 229 (2001), 89-99.

%H Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a060/A060020.java">Java program</a> (github)

%F a(2n) = n for n >= 10 [from Griggs]. - _Sean A. Irvine_, Oct 20 2022

%F a(p) = floor(2*sqrt(p-2)) for prime p >= 3 [from Griggs]. - _Sean A. Irvine_, Oct 20 2022

%Y Cf. A060021.

%K nonn,more

%O 2,2

%A _N. J. A. Sloane_, Mar 17 2001

%E a(21)-a(48) from _Sean A. Irvine_, Oct 20 2022

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)