# [seqfan] Re: Palindome reciprocal sums

M. F. Hasler oeis at hasler.fr
Sun Jun 22 23:33:47 CEST 2014

```PS: and Aitken applied to every other term of that sequence yields the
constant sequence
2.3787957075414...
M.

On Sun, Jun 22, 2014 at 5:30 PM, M. F. Hasler <oeis at hasler.fr> wrote:
> Charles observes that applying Aitken's delta squared, "the value is singular".
> More precisely, Lars' sequence has the first differences
> [2.5821 E-9, 2.5822 E-9, 1.2911 E-9, 1.2911 E-9 ]
> I think if this is not "suspicious", at least it is certainly not an accident.
> The logical sequel would be (for 1st differences) :
>  6.4555E-10,  6.4555E-10,  3.22775 E-10, 3.22775 E-10, 1.613875 E-10,
> 1.613875 E-10, 8.069375 E-11, 8.069375 E-11,...
> which would yield, for the values :
> a(60) = 2.37879570560475
> a(61) =  2.3787957062503
> a(62) = 2.378795706573075
> a(63) = 2.37879570689585
> a(64) = 2.3787957070572375
> a(65) = 2.378795707218625
> a(66) = 2.37879570729931875
> a(67) = 2.3787957073800125
>
> Maximilian
>
> On Sat, Jun 21, 2014 at 11:22 AM, Lars Blomberg <lars.blomberg at visit.se> wrote:
>> For summing to 55-59 binary digits I get
>>
>> 55    2.3787956972127
>> 56    2.3787956997948
>> 57    2.3787957023770
>> 58    2.3787957036681
>> 59    2.3787957049592
>>
>> /Lars Blomberg
>>
>> -----Ursprungligt meddelande----- From: Frank Adams-Watters Sent: Friday,
>> June 20, 2014 11:18 PM To: seqfan at list.seqfan.eu Subject: [seqfan] Palindome
>> reciprocal sums
>> We have
>> A118031, sum of reciprocals of decimal palindromes
>> A118064 sum of reciprocals of decimal palindromic primes
>> A194097 sum of reciprocals of binary palindromic primes
>>
>> But we don't have the one I would consider the most basic, the sum of the
>> reciprocals of binary palindromes.

--
Maximilian
```