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Number of partitions of n with even minimal part and odd maximal part.
4

%I #6 Apr 23 2019 23:58:28

%S 0,0,1,1,3,3,7,7,13,15,25,28,44,52,76,91,128,155,211,255,340,415,540,

%T 656,842,1025,1297,1573,1970,2386,2959,3570,4394,5290,6460,7751,9411,

%U 11259,13592,16206,19468,23149,27678,32808,39070,46186,54783,64577,76332

%N Number of partitions of n with even minimal part and odd maximal part.

%C The four sequences A325338, A325344, A325345, A325346 partition the partition numbers, A000041.

%e a(5) counts these 3 partitions: [4,1], [2,2,1], [2,1,1,1].

%t Table[Count[IntegerPartitions[n], q_ /; EvenQ[Min[q]] && OddQ[Max[q]]], {n, 30}]

%Y Cf. A000041, A325338, A325345, A325346.

%K nonn,easy

%O 1,5

%A _Clark Kimberling_, Apr 23 2019