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A079600
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a(n) = A000670(p-1)/p with p = prime(n+1).
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1
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1, 15, 669, 9295233, 2160889815, 312685569528315, 178186034908255017, 111949757382747408023661, 217157312584485035638564618459815, 367857057871350983346531103102738773, 3897277863558255935901648057010997772527380815
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = A052882(p)/p^2 with p = prime(n+1).
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MAPLE
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N:= 60: # to use primes <= N
M:= numtheory:-pi(N):
L:= [seq(ithprime(i+1)-1, i=1..M-1)]:
S:= series(1/(2-exp(x)), x=0, N+1):
seq(coeff(S, x, L[i])*L[i]!/(L[i]+1), i=1..M-1); # Robert Israel, Mar 30 2016
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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