[seqfan] Re: Some Remarkable Series for A193543(n), A193544(n)

[Paul D Hanna]

Doug, 
     Fantastic.   I've confirmed all your values up to 940+ digit accuracy. 
I'll submit these terms as 2 sequences after some formula hunting 
and credit you for the computations. 
Thanks!  
    Paul 
 
---------- Original Message ----------
From: "D. S. McNeil" <dsm054 at gmail.com>
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
Subject: [seqfan] Re: Some Remarkable Series for A193543(n), A193544(n)
Date: Fri, 31 Aug 2012 00:20:47 -0400

> Can someone find more terms of b(n) and c(n)?

Looks like:

0 1
1 4*sqrt(2) + 4
2 96*sqrt(2) + 144
3 6912*sqrt(2) + 9792
4 903168*sqrt(2) + 1274112
5 188891136*sqrt(2) + 267273216
6 58042220544*sqrt(2) + 82081714176
7 24583741636608*sqrt(2) + 34766166048768
8 13730637731069952*sqrt(2) + 19418143011176448
9 9777972008057831424*sqrt(2) + 13828133313912766464
10 8647047131490907324416*sqrt(2) + 12228770640505737314304
11 9297053372804739285123072*sqrt(2) + 13148019425356208796598272
12 11943179316739549356493897728*sqrt(2) + 16890206065140879101779771392
13 18066284723187322897316620271616*sqrt(2) + 25549584879017650695869778886656
14 31785290722166559877155965343105024*sqrt(2) +
44951189233408851976112229807292416
15 64354805619278535283379331651808002048*sqrt(2) +
91011438905480899691423554088718041088
16 148568998976062647576057110045620848033792*sqrt(2) +
210108293301118675924135051068546238906368
17 387932885047590464537298997011364686273183744*sqrt(2) +
548619947325464115417997303889817577847783424
18 1137529540229602302657361974173461626864204251136*sqrt(2) +
1608709703391986198862095660055287572797969137664
19 3722061514312152863902279948170443229080820784300032*sqrt(2) +
5263789873527529111801402355636596520955646052401152
20 13512748288741441561638433238987525423661915754607935488*sqrt(2) +
19109911894872035157002147075069564951191053217428406272

to me, but independent verification would be a good idea..


Doug

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