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Search: id:A127425
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| A127425 |
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Floor((n*(n+1)^3/8)^n)-(n!)^4. |
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+0
1
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| 0, 0, 29, 12528, 14927013, 44632974375, 289553896419667, 3621335176611561472, 79763800168579144103361, 2886490238072828615188093125, 162510049064391484117789761805165, 13624190843866457706897020192739557376, 1640800492737366435568874082163705520197134
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OFFSET
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0,3
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COMMENT
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Theorem: (n*(n+1)^3/8)^n > (n!)^4 for n > 1.
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REFERENCES
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D. S. Mitrinovic, Analytic Inequalities, Springer-Verlag, 1970; p. 193, 3.1.17.
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EXAMPLE
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(n*(n+1)^3/8)^n - (n!)^4 gives 0, 0, 473/16, 12528, 238832209/16, 44632974375, 1186012759734957321/4096, ...
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CROSSREFS
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Sequence in context: A033519 A103656 A028459 this_sequence A135253 A159437 A139775
Adjacent sequences: A127422 A127423 A127424 this_sequence A127426 A127427 A127428
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2007
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