A241192 Denominator of Sum_{i=1..n} 1/(prime(i)*prime(i+1)*prime(i+2)).

30, 70, 22, 2002, 3094, 4522, 6118, 7714, 5500082, 203503034, 8343624394, 358775848942, 16862464900274, 19015119993926, 52728927743156798, 3216464592332564678, 215503127686281833426, 15300722065726010173246, 1116952710797998742646958, 1208757043192354803686434

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Example

1/30, 3/70, 1/22, 93/2002, 145/3094, 213/4522, 289/6118, 365/7714, 260511/5500082, 9645025/203503034, 395623447/8343624394, 17017308303/358775848942, 800016993275/16862464900274, 902324346127/19015119993926, ...

Maple

g:= n-> add(1/(ithprime(i)*ithprime(i+1)*ithprime(i+2)), i=1..n);
t1:=[seq(g(n), n=1..20)];
t1a:=map(numer, t1); # A241191
t1b:=map(denom, t1); # A241192

Crossrefs

Cf. A024451/A002110, A241189/A241190, A241191/A241192.

Sequence in context: A309393 A154055 A270758 * A359545 A064623 A112343

Adjacent sequences: A241189 A241190 A241191 * A241193 A241194 A241195

Keyword

nonn,frac

Author

N. J. A. Sloane, Apr 25 2014, based on a suggestion from Timothy Varghese.

Status

approved