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A137645
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a(n) = Sum_{k=0..n} C((n-k)*k, k) * C((n-k)*k, n-k).
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0
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1, 0, 1, 4, 42, 608, 10986, 240492, 6167112, 181154848, 5995624710, 220711502648, 8943846698096, 395588177834784, 18962600075658460, 979198125493716492, 54189002212286942316, 3199366560075461850320, 200730550064907653703510
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