A098829 Decimal expansion of the infinite sum: each n-th prime number A000040(n) divided by each n-th Fibonacci number A000045(n), from n=1.

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

Offset

2,2

Links

Table of n, a(n) for n=2..106.

Example

18.207173388112783798613369735061591288678882955149894133679641838737...

Maple

A000040:=n->ithprime(n); A000045:=n->(1/sqrt(5))*(((1+sqrt(5))/2)^n-(2/(1+sqrt(5)))^n*cos(n*Pi)); evalf[82](sum(A000040(k)/A000045(k), k=1..5000)); evalf[82](sum(A000040(k)/A000045(k), k=1..10000));

Mathematica

s = 0; Do[s = N[s + Prime[n]/Fibonacci[n], 128], {n, 10^3}]; RealDigits[s, 10, 105][[1]] (* Robert G. Wilson v, Nov 04 2004 *)
RealDigits[Total[Table[Prime[n]/Fibonacci[n], {n, 5000}]], 10, 120][[1]] (* Harvey P. Dale, Feb 19 2018 *)

Prog

(PARI) suminf(n=1, prime(n)/fibonacci(n)) \\ Charles R Greathouse IV, Aug 07 2012

Crossrefs

Cf. A000040, A000045.

Sequence in context: A344362 A182170 A011105 * A190404 A243433 A080729

Adjacent sequences: A098826 A098827 A098828 * A098830 A098831 A098832

Keyword

cons,nonn

Author

Joseph Biberstine (jrbibers(AT)indiana.edu), Nov 02 2004

Extensions

More terms from Robert G. Wilson v, Nov 04 2004

Status

approved