A139396 Decimal expansion of the alternating sum 1/p(1) + 1/(p(2)*p(3)) - 1/(p(4)*p(5)*p(6)) + 1/(p(7)*p(8)*p(9)*p(10)) - ..., where p(n) is the n-th prime.

5, 6, 5, 6, 7, 2, 2, 9, 6, 8, 0, 3, 0, 6, 1, 8, 9, 7, 7, 0, 3, 8, 4, 2, 4, 8, 6, 9, 7, 5, 1, 6, 2, 7, 6, 3, 2, 5, 7, 2, 0, 8, 6, 1, 0, 7, 2, 2, 8, 0, 3, 2, 2, 0, 6, 1, 4, 4, 7, 3, 9, 8, 5, 8, 5, 5, 7, 8, 8, 4, 9, 4, 5, 8, 3, 9, 0, 5, 3, 1, 9, 5, 9, 2, 6, 1, 0, 3, 8, 0, 1, 3, 1, 3, 8, 5, 7, 0, 8, 4

Offset: 0

Author

Paolo P. Lava and Giorgio Balzarotti, Apr 18 2008

Keywords

• nonn
• easy
• cons

Comments

Absolute difference between this number and A139395 is about 0.002.

Examples

			0.565672296803061897703842486975162763257208610722803220614...
		

Crossrefs

Cf. A139395.

Programs

Maple

P:=proc(n) local a,b,i,j,k; a:=0.5; k:=1; for i from 2 by 1 to n do b:=1; for j from k by 1 to k+i-1 do b:=b*1/ithprime(j+1); od; k:=j; a:=evalf(a+b*(-1)^i,105); od; print(a); end: P(100);

Extensions

Definition corrected by Bruno Berselli, Feb 27 2014