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A102792 Integer part of n#/(p-7)#, where p=preceding prime to n. 0

%I #5 Oct 01 2013 17:58:08

%S 105,385,1001,2431,4199,7429,667,899,1147,1517,65231,82861,2491,3127,

%T 3599,4087,4757,347261,5767,6557,7387,97,9797,1009091,1113121,1201289,

%U 1317919,127,16637,17947,19043,149,22499,23707,25591,27221,28891,30967

%N Integer part of n#/(p-7)#, where p=preceding prime to n.

%C 0# = 1# = 2 by convention.

%F n# = product of primes <= n. 0#=1#=2. n#/(p-r)# is analogous to the number of permutations of n things taken r at a time: P(n, r) = n!/(n-r)! where factorial ! is replaced by primorial # and n is replaced with the preceding prime to n.

%o (PARI) perm(n,r) = { local(p); forprime(p=r,n, print1(floor(primorial(p)/primorial(p-r))",") ) } primorial(n) = \ The product of primes <= n using the pari primelimit. { local(p1,x); if(n==0||n==1,return(2)); p1=1; forprime(x=2,n,p1*=x); return(p1) }

%K easy,nonn

%O 7,1

%A _Cino Hilliard_, Feb 25 2005

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)