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A066098
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Sum of digits of primorial(n) (A002110).
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1
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2, 6, 3, 3, 6, 6, 12, 48, 33, 48, 30, 48, 42, 51, 93, 87, 75, 111, 111, 132, 114, 141, 156, 150, 150, 156, 183, 213, 240, 201, 210, 222, 192, 210, 258, 249, 312, 267, 282, 348, 300, 336, 375, 312, 372, 390, 381, 363, 366, 411, 363, 366, 375, 399, 447
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(n)=C*n*ln(n) asymptotically with C=1.9...
If the digits are supposed equidistributed, a(n)=9/(2*ln(10))*n*ln(n) asymptotically, where 9/(2ln(10))=1.9543251685... - Benoit Cloitre, Jan 05 2002
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MATHEMATICA
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Table[ Apply[ Plus, IntegerDigits[ Product[ Prime[i], {i, 1, n} ]]], {n, 1, 55} ]
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PROG
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(PARI) SumD(x)= { local(s=0); while (x>9, s+=x%10; x\=10); return(s + x) } { p=1; for (n=1, 1000, p*=prime(n); s=SumD(p); write("b066098.txt", n, " ", s) ) } [From Harry J. Smith, Nov 13 2009]
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CROSSREFS
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Cf. A002110.
Sequence in context: A218256 A198418 A086360 * A123733 A163892 A130108
Adjacent sequences: A066095 A066096 A066097 * A066099 A066100 A066101
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KEYWORD
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nonn,base
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AUTHOR
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Benoit Cloitre, Dec 30 2001
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EXTENSIONS
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More terms from Robert G. Wilson v, Dec 31 2001
OFFSET changed from 0,1 to 1,1 by Harry J. Smith, Nov 13 2009
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STATUS
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approved
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