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A045948 Quotients A003418(n)/A034386(n). 5
1, 1, 1, 2, 2, 2, 2, 4, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 24, 120, 120, 360, 360, 360, 360, 360, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 720, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040, 5040 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Index entries for sequences related to lcm's

EXAMPLE

n=11: LCM[ 1,..,1341 ]=27720=8*9*5*7*11=2310*12. A034386(11)=2310, so the quotient is 12. Thus a(11) = 12.

MATHEMATICA

Table[Exp[Sum[MangoldtLambda[n], {n, 1, m}]]/ Product[x, {x, Prime[Range[PrimePi[m]]]}], {m, 1, 57}] (* Fred Daniel Kline, Apr 02 2015 *)

PROG

(PARI) a(n)=lcm([1..n])/prod(i=1, n, prime(i)) \\ Charles R Greathouse IV, Apr 02 2015

CROSSREFS

Cf. A003418, A034386, A002110, A000142, A049536, A048148.

Sequence in context: A034585 A171869 A147751 * A278110 A248763 A233585

Adjacent sequences:  A045945 A045946 A045947 * A045949 A045950 A045951

KEYWORD

nonn

AUTHOR

Labos Elemer

STATUS

approved

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Last modified February 21 14:40 EST 2018. Contains 299414 sequences. (Running on oeis4.)