login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A233437
Floor(Primorial(n) / compositorial(n)), that is, floor(A002110(n) / A036691(n)).
1
1, 2, 4, 8, 18, 39, 85, 191, 425, 940, 2185, 5183, 12814, 32711, 84715, 218141, 555741, 1376723, 3457106, 9544621, 26048861, 72830491, 202468765, 591526393, 1717701641, 4994058475, 14800573301, 44137423952, 133960953399, 413431218250, 1247184175056, 3842131894125
OFFSET
12,2
FORMULA
a(n) = floor(A002110(n) / A036691(n)).
PROG
(PARI) a(n)=my(c, p, N); N=n; c=4; p=1; while(n>0, if(!isprime(c), p=p*c; n=n-1); c=c+1); floor(prod(i=1, N, prime(i))/p) \\ Ralf Stephan, Dec 21 2013
CROSSREFS
Sequence in context: A218078 A110110 A300221 * A321200 A056362 A086585
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Dec 09 2013
STATUS
approved