A079600 - OEIS

%I #17 Mar 30 2016 23:00:03

%S 1,15,669,9295233,2160889815,312685569528315,178186034908255017,

%T 111949757382747408023661,217157312584485035638564618459815,

%U 367857057871350983346531103102738773,3897277863558255935901648057010997772527380815

%N a(n) = A000670(p-1)/p with p = prime(n+1).

%H Robert Israel, <a href="/A079600/b079600.txt">Table of n, a(n) for n = 1..81</a>

%F a(n) = A052882(p)/p^2 with p = prime(n+1).

%p N:= 60: # to use primes <= N

%p M:= numtheory:-pi(N):

%p L:=  [seq(ithprime(i+1)-1, i=1..M-1)]:

%p S:= series(1/(2-exp(x)), x=0, N+1):

%p seq(coeff(S,x,L[i])*L[i]!/(L[i]+1), i=1..M-1); # _Robert Israel_, Mar 30 2016

%t Fubini[n_, r_] := Sum[k!*Sum[(-1)^(i+k+r)*(i+r)^(n-r)/(i!*(k-i-r)!), {i, 0, k-r}], {k, r, n}]; Fubini[0, 1] = 1; a[p_] := Fubini[p-1, 1]/p; Table[ a[p], {p, Prime[Range[2, 11]]}] (* _Jean-François Alcover_, Mar 30 2016 *)

%Y Cf. A000040, A000670, A052882.

%K nonn

%O 1,2

%A _Benoit Cloitre_, Jan 28 2003