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A130906
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Expansion of e.g.f. exp(x^3/3!)/(1-x).
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5
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1, 1, 2, 7, 28, 140, 850, 5950, 47600, 428680, 4286800, 47154800, 565873000, 7356349000, 102988886000, 1544834691400, 24717355062400, 420195036060800, 7563510839684800, 143706705954011200, 2874134119080224000, 60356816536896880000, 1327849963811731360000
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) = n! * Sum_{k=0..floor(n/3)} 1/(6^k * k!). - Seiichi Manyama, Feb 27 2024
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Exp[x^3/6]/(1-x), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 10 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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