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A355189
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Factorial splitting: write n! = x*y*z with x <= y <= z and minimal z-x; sequence gives value of x.
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4
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1, 1, 1, 1, 2, 4, 8, 14, 32, 70, 140, 324, 768, 1800, 4368, 10800, 27300, 70560, 184800, 494208, 1343680, 3704400, 10388250, 29560960, 85250880, 249318000, 738720000, 2216160000, 6729074352, 20675655000, 64245312000, 201819656500, 640760440320
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OFFSET
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0,5
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COMMENTS
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Apparently we have x < y < z for all n > 9. If so, using strict inequalities x < y < z in the definition would make the sequence undefined for n < 3 and affect only a(9) by switching from 9! = 70*72*72 to 9! = 63*72*80.
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LINKS
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CROSSREFS
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Cf. A061030, A061031, A061032, A061033, A060776, A060777, A060795, A060796, A200743, A200744, A355190, A355191, A355192.
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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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