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A078565
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Number of zeros in the binary expansion of n!.
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0
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0, 1, 1, 3, 3, 6, 7, 10, 13, 11, 19, 17, 21, 25, 23, 27, 27, 30, 40, 40, 41, 42, 44, 51, 54, 54, 56, 56, 63, 60, 71, 76, 77, 77, 77, 88, 86, 90, 90, 97, 99, 106, 105, 107, 117, 115, 117, 114, 122, 126, 130, 138, 138, 151, 144, 146, 157, 160, 158, 160, 176, 172, 170, 176
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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FORMULA
| a(n) = Sum_COMPONENTS(COMPLEMENT(BINARY_VECTOR(n!)))
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EXAMPLE
| a(4) = 3 because 4!=24)D=11000)B and it has 3 zero digits.
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PROG
| (PARI) for(n=1, 300, b=binary(n!); print1(sum(k=1, length(b), if(b[k], 0, 1))", "))
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CROSSREFS
| Sequence in context: A008867 A185958 A003879 * A026926 A083751 A034401
Adjacent sequences: A078562 A078563 A078564 * A078566 A078567 A078568
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KEYWORD
| nonn
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AUTHOR
| Jose R. Brox (tautocrona(AT)terra.es), Jan 26 2003
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