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%I #5 Jan 08 2019 09:12:41
%S 1,8,52,299,437,527,2189,64925
%N Numbers n such that 1/G^n is closer to its nearest integer than any value of 1/G^k for 1 <= k < n, where G is Catalan's constant.
%C At n=2189 the discrepancy is 0.00000715379617...
%e First term is 1 because this is just 1/G=1.0917440637... Second term is 8 because 1/G^8=2.01821167... which is 0.0182... away from its nearest integer. 1/G^52 is 0.0027 away from 96.
%p a := []: s := 1: n := 1: do: g := 1/Catalan^n: d := round( 30+evalf( ilog10( g ) ) ): b := evalf(g,d): c := round(b): f := evalf(abs(c-b),d): if f<s then a := [op(a),n]: print(n): s := f: fi: n := n+1: od:
%Y Cf. A079490, A080052, A080053.
%K nonn,more
%O 1,2
%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
%E More terms from _Michel ten Voorde_ Jun 20 2003
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