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A140115
a(n) is the number of numbers k between n^3 and (n + 1)^3 that are the product of 3 distinct primes.
0
0, 0, 0, 2, 7, 10, 16, 27, 32, 41, 53, 72, 76, 104, 104, 143, 137, 174, 203, 209, 241, 271, 280, 324, 360, 381, 391, 466, 497, 499, 545, 598, 646, 676, 737, 725, 818, 850, 930, 953, 948, 1055, 1113, 1151, 1221, 1301, 1294, 1394, 1425, 1520, 1589, 1657, 1694, 1766, 1801
OFFSET
0,4
EXAMPLE
a(3) = 2, counting 30 and 42 between 3^3 = 27 and 4^3 = 64.
a(4) = 7, counting 66, 70, 78, 102, 105, 110 and 114 between 4^3 = 64 and 5^3 = 125. - David A. Corneth, May 19 2018
PROG
(PARI) list(lim)=my(v=List(), t); forprime(p=2, (lim)^(1/3), forprime(q=p+1, sqrt(lim\p), t=p*q; forprime(r=q+1, lim\t, listput(v, t*r)))); vecsort(Vec(v)) \\ Charles R Greathouse IV, Jul 20 2011 at A007304.
first(n) = {my(res = vector(n), l = list(n ^ 3), il = 1, ir = 4, ol = nl = 1); res[1] = 0; while(il <= #l, if(ir ^ 3 < l[il], ir++); res[ir]++; il++); res} \\ David A. Corneth, May 19 2018
CROSSREFS
Sequence in context: A226830 A059316 A295825 * A294865 A105770 A240469
KEYWORD
easy,nonn
AUTHOR
Philippe Lallouet (philip.lallouet(AT)orange.fr), May 08 2008
EXTENSIONS
Corrected name, data and put more terms by David A. Corneth, May 19 2018
STATUS
approved