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Search: id:A098829
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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. +0
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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 (list; cons; graph; listen)
OFFSET

2,2

EXAMPLE

18.207173388112783798613369735061591288678882955149894133679641838737039674364579...

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]] (from Robert G. Wilson v Nov 04 2004)

CROSSREFS

Cf. A000040, A000045.

Sequence in context: A051187 A021850 A011105 this_sequence A114314 A080729 A164800

Adjacent sequences: A098826 A098827 A098828 this_sequence A098830 A098831 A098832

KEYWORD

cons,nonn

AUTHOR

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

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 04 2004

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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