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A226973
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Difference between n! and the largest cube < n!.
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2
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1, 1, 5, 16, 56, 208, 127, 1016, 4969, 47223, 264979, 789832, 7668081, 4272696, 130217625, 883909125, 9969785792, 52152119144, 128092980744, 2166664965184, 29992267884032, 272465658461528, 1588888484126208, 10747891377020979, 5480400487212279, 70703132766750784, 1908984584702271168
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OFFSET
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1,3
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COMMENTS
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Also, smallest number k such that n! - k is a cube.
Sequence is not monotonic: a(n) < a(n-1) for n: 7, 14, 25, 30, 51, 106, 168, 279, 288.
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LINKS
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FORMULA
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EXAMPLE
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a(2) = 2! - 1^3 = 1, a(3) = 3! - 1^3 = 5, a(4) = 4! - 3^3 = 16.
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MATHEMATICA
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Join[{1}, Table[n! - Floor[(n!)^(1/3)]^3, {n, 2, 30}]]
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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