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A072831
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Number of bits in n!.
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1
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1, 1, 2, 3, 5, 7, 10, 13, 16, 19, 22, 26, 29, 33, 37, 41, 45, 49, 53, 57, 62, 66, 70, 75, 80, 84, 89, 94, 98, 103, 108, 113, 118, 123, 128, 133, 139, 144, 149, 154, 160, 165, 170, 176, 181, 187, 192, 198, 203, 209, 215, 220, 226, 232, 238, 243, 249, 255, 261, 267
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n) = floor(log(n!)/log(2)) + 1.
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EXAMPLE
| a(4)=5 because 4! = 4*3*2*1 = 24 (base 10) = 11000 (base 2), using 5 bits.
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MATHEMATICA
| Floor[Log[2, Range[0, 60]!]]+1 (* From Harvey P. Dale, Nov 16 2011 *)
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PROG
| (PARI) for(n=0, 100, print1(floor(log(n!)/log(2))+1, ", "))
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CROSSREFS
| Cf. A034886 (decimal digits of n!), A000142 (n!). Essentially the same as A003070.
Sequence in context: A064509 A096221 A120367 * A072388 A101433 A024180
Adjacent sequences: A072828 A072829 A072830 * A072832 A072833 A072834
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KEYWORD
| base,nonn
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AUTHOR
| Rick L. Shepherd (rshepherd2(AT)hotmail.com), Jul 22 2002
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