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A079600 a(n) = A000670(p-1)/p with p = prime(n+1). 1
1, 15, 669, 9295233, 2160889815, 312685569528315, 178186034908255017, 111949757382747408023661, 217157312584485035638564618459815, 367857057871350983346531103102738773, 3897277863558255935901648057010997772527380815 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..81

FORMULA

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

MAPLE

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

MATHEMATICA

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-Fran├žois Alcover, Mar 30 2016 *)

CROSSREFS

Cf. A000040, A000670, A052882.

Sequence in context: A279465 A349889 A279531 * A171113 A166186 A351182

Adjacent sequences:  A079597 A079598 A079599 * A079601 A079602 A079603

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jan 28 2003

STATUS

approved

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Last modified May 21 08:44 EDT 2022. Contains 353908 sequences. (Running on oeis4.)