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A196749 Numbers n such that 3, 5 and 7 do not divide swing(n) = A056040(n). 3

%I #9 Feb 03 2016 11:39:57

%S 0,1,2,20,1512,1513,1514,6320,6372,6373,6374,6500,15120,15121,15122,

%T 15302,40014,119096754,119096802,91547225622,91550794374

%N Numbers n such that 3, 5 and 7 do not divide swing(n) = A056040(n).

%H P. Erdos, R. L. Graham, I. Z. Russa and E. G. Straus, <a href="http://www.math.ucsd.edu/~ronspubs/75_03_prime_factors.pdf">On the prime factors of C(2n,n)</a>, Math. Comp. 29 (1975), 83-92.

%H Peter Luschny, <a href="http://oeis.org/wiki/User:Peter_Luschny/PrimeFactorsSwingingFactorial">On the prime factors of the swinging factorial</a>.

%p # The function Search is defined in A196747.

%p A196749_list := n -> Search(n,[3,5,7]): # n is a search limit

%o (PARI) valp(n,p)=my(s); while(n\=p, s+=n); s

%o is(n)=valp(n,3)==2*valp(n\2,3) && valp(n,5)==2*valp(n\2,5) && valp(n,7)==2*valp(n\2,7) \\ _Charles R Greathouse IV_, Feb 02 2016

%Y Cf. A005836, A129508, A030979, A151750, A196747, A196748, A196750.

%K nonn,more

%O 1,3

%A _Peter Luschny_, Oct 06 2011

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Last modified August 26 06:07 EDT 2024. Contains 375454 sequences. (Running on oeis4.)