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A309912
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a(n) = Product_{p prime, p <= n} floor(n/p).
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0
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1, 1, 1, 1, 2, 2, 6, 6, 8, 12, 30, 30, 48, 48, 112, 210, 240, 240, 324, 324, 480, 840, 1848, 1848, 2304, 2880, 6240, 7020, 10080, 10080, 14400, 14400, 15360, 25344, 53856, 78540, 90720, 90720, 191520, 311220, 374400, 374400, 508032, 508032, 709632, 855360, 1788480, 1788480
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OFFSET
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0,5
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COMMENTS
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Product of exponents of prime factorization of A048803 (squarefree factorials).
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LINKS
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FORMULA
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EXAMPLE
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A048803(14) = 1816214400 = 2^7 * 3^4 * 5^2 * 7^2 * 11 * 13 so a(14) = 7 * 4 * 2 * 2 * 1 * 1 = 112.
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MAPLE
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a:= n-> mul(floor(n/p), p=select(isprime, [$2..n])):
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MATHEMATICA
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Table[Product[Floor[n/Prime[k]], {k, 1, PrimePi[n]}], {n, 0, 47}]
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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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