[seqfan] Re: Seq. A118064.

[Robert Gerbicz]

2009/5/31 Robert G. Wilson, v <rgwv at rgwv.com>

> Sequence Fans,
>
>        Would someone please send me the recent discussion on
> sequence A118064: Decimal expansion of the sum of the reciprocals
>  of the palindromic primes (Honaker's constant)?
>
> Bob.
>
>
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>
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>

Hi!

I don't remember for that discussion, but there should be problem with
A118064. Let f(L) to be the sum of reciprocal of L digits palindromic
primes, then my computation gives:

f(1)=1.17619047619047619047619047619
f(2)=0.0909090909090909090909090909091
f(3)=0.0536236774907238646456937673383
f(5)=0.00302515766035758995163241184216
f(7)=0.000215703420553903851823404296181
f(9)=0.0000166123943226029201053839857831
f(11)=0.0000013084139501429137664563612017
f(13)=0.000000109957987520944535638817533488
f(15)=0.0000000094541435099826428103062275838

Using this and bounds for the error term gives that the constant begins
with: 1.323982146