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A090617
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Exponent of highest power of 8 dividing n!.
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7
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0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24
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OFFSET
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0,9
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LINKS
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FORMULA
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a(n) = A090622(n, 8) = floor(A011371(n)/3) = floor((floor(n/2) + floor(n/4) + floor(n/8) + floor(n/16) + ...)/3).
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EXAMPLE
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a(8)=2 since 8! = 40320 = 8^2 * 630.
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MATHEMATICA
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Table[IntegerExponent[n!, 8], {n, 0, 80}] (* Harvey P. Dale, Mar 21 2013 *)
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PROG
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(Python 3.10+)
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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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