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%I #4 Apr 22 2014 01:29:16
%S 0,1,1,1,2,3,2,4,5,5,8,9,10,13,15,19,23,26,30,38,45,49,60,70,80,95,
%T 110,126,145,167,191,223,254,286,330,376,426,486,551,622,708,797,896,
%U 1015,1141,1283,1444,1620,1811,2031,2274,2538,2839,3166,3527,3933
%N Number of partitions p of n into distinct parts not including 2*min(p).
%F a(n) + A240853(n) = A000009(n) for n >= 0.
%e a(9) counts these 5 partitions: 9, 81, 72, 54, 531.
%t z = 40; f[n_] := f[n] = Select[IntegerPartitions[n], Max[Length /@ Split@#] == 1 &]; Table[Count[f[n], p_ /; MemberQ[p, 2*Min[p]]], {n, 0, z}] (* A240853 *)
%t Table[Count[f[n], p_ /; !MemberQ[p, 2*Min[p]]], {n, 0, z}] (* A240854 *)
%Y Cf. A240854, A000009.
%K nonn,easy
%O 0,5
%A _Clark Kimberling_, Apr 14 2014
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