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A108275 Number of positive integers <= 10^n that are divisible by no prime exceeding 17. 2
1, 10, 67, 287, 945, 2579, 6179, 13389, 26809, 50351, 89679, 152751, 250420, 397227, 612185, 919814, 1351182, 1945205, 2750000, 3824456, 5239923, 7082118, 9453184, 12473898, 16286197, 21055745, 26974877, 34265658, 43183191, 54019174 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..29.

MATHEMATICA

n = 10; t = Select[ Flatten[ Table[17^g* Select[ Flatten[ Table[13^f* Select[ Flatten[ Table[11^e* Select[ Flatten[ Table[7^d* Select[ Flatten[ Table[5^c* Select[ Flatten[ Table[2^a*3^b, {a, 0, n*Log[2, 10]}, {b, 0, n*Log[3, 10]}]], # <= 10^n &], {c, 0, n*Log[5, 10]}]], # <= 10^n &], {d, 0, n*Log[7, 10]}]], # <= 10^n &], {e, 0, n*Log[11, 10]}]], # <= 10^n &], {f, 0, n*Log[13, 10]}]], # <= 10^n &], {g, 0, n*Log[17, 10]}]], # <= 10^n &]; Table[ Length[ Select[t, # <= 10^n &]], {n, 0, 10}]

CROSSREFS

Sequence in context: A231886 A278090 A266443 * A086443 A172066 A026844

Adjacent sequences:  A108272 A108273 A108274 * A108276 A108277 A108278

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, May 31 2005

EXTENSIONS

a(11)-a(18) from Donovan Johnson, Sep 16 2009

a(19)-a(29) from Max Alekseyev, Apr 27 2010

STATUS

approved

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Last modified January 17 19:58 EST 2019. Contains 319251 sequences. (Running on oeis4.)