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A045716
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a(n) is the binary order (A029837) of the n-th primorial number, A002110(n).
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7
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1, 3, 5, 8, 12, 15, 19, 24, 28, 33, 38, 43, 49, 54, 60, 65, 71, 77, 83, 89, 96, 102, 108, 115, 121, 128, 135, 141, 148, 155, 162, 169, 176, 183, 190, 198, 205, 212, 220, 227, 235, 242, 250, 257, 265, 273, 280, 288, 296, 304, 312, 319, 327, 335, 343, 351, 359
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OFFSET
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1,2
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COMMENTS
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These orders determine the maximal numbers of unitary divisors valid for integers in given binary order ranges (see A046971).
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LINKS
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FORMULA
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EXAMPLE
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The sixth primorial number is 2*3*5*7*11*13 = 30030, which is in the interval [16385, 32768] = [2^14 + 1, 2^15], so its binary order is a(6)=15. [corrected by Jon E. Schoenfield, May 13 2018]
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MATHEMATICA
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Table[Ceiling@ Log2[Times @@ Prime@ Range@ n], {n, 57}] (* Michael De Vlieger, Feb 05 2017 *)
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PROG
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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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