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Seiichi Manyama, <a href="/A358606/b358606.txt">Table of n, a(n) for n = 0..1000</a>
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a(n) = Sum_{k=0..floor(n/5)} (-1)^k * (n-4*k)!/(n-5*k)!.
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1, 1, 1, 1, 1, 0, -1, -2, -3, -4, -3, 0, 5, 12, 21, 26, 21, 0, -43, -114, -195, -244, -195, 42, 581, 1440, 2421, 2990, 2157, -1644, -9955, -22974, -37515, -44248, -24219, 50310, 205661, 442140, 689997, 740906, 190245, -1534224, -4941355, -9887058, -14429619, -13255900, 3510141