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Number of set partitions of [n] with alternating parity of elements and exactly five blocks.

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`%I #5 Jun 10 2018 13:29:48
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`%S 1,5,19,62,204,627,2006,6045,19091,56804,177431,523072,1618006,
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`%T 4739853,14544372,42440871,129419597,376877914,1143885829,3328765378,
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`%U 10068808024,29308488795,88433869354,257651383313,776063514999,2264100874960,6811218232163,19903182431380
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`%N Number of set partitions of [n] with alternating parity of elements and exactly five blocks.
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`%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
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`%Y Column k=5 of A274581.
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`%K nonn
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`%O 5,2
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`%A _Alois P. Heinz_, Jun 10 2018
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