A132399 = A000055

[N. J. A. Sloane]

Dear seqfans,

Superseq report pointed me to the sequence  A110907 which currently has only 
4 terms.
To check possible connection with my seq I did the calculation, here are 
results:
    n                                   ai 
bi
--------------------------------------------------------------------------------
    1                                    5 
2
    2                                   13 
7
    6                                 1093 
547
   12                               797161 
398581
--------------------------------------------------------------------------------
   40                 18236498188585393201 
9118249094292696601
   42                164128483697268538813 
82064241848634269407
   46              13294407179478751643893 
6647203589739375821947
   52            9691622833840009948398361 
4845811416920004974199181
   58         7065193045869367252382405533 
3532596522934683626191202767
   60        63586737412824305271441649801 
31793368706412152635720824901
   66     46354731573948918542880962705293 
23177365786974459271440481352647

I did the calculation programmed witn non-mathematical tool.
Please, can you check above and put more terms in OEIS.

Regards,
--ivica 




Joshua said:

> On Tue, Mar 18, 2008 at 10:07 AM, Tanya Khovanova
> <mathoflove-seqfan at yahoo.com> wrote:
> >  Mutually-praising pairs.
> >  130, 230, 430, 530, 630, 730, 1101, 2210, 10110, 11200, 23100
> >
> >  Comment: 1101 and 130 mutually describe each other: If you read 130 as
> >  1 zero, 3 ones, 0 twos; you will get the description of 1101. If you
> >  read 1101 as 1 zero, 1 one, 0 twos and 1 three; you will get the
> >  description of 130.
> 
> Maybe I don't understand the definition - why are for example 12 and
> 110 not mutually praising?  And why not 32 and 11100?  Ah, I see,
> perhaps leading zeros are not allowed.
> 
> Anyway, with my definition (allowing leading 0s), I get the following
> as all the mutually praising pairs that have at least one element less
> than or equal to 100000:
> (1 1) (12 110) (32 11000) (42 101000) (52 1001000) (62 10001000) (110
> 12) (130 1101) (211 2100) (230 10110) (311 20100) (411 200100) (430
> 1001100) (511 2000100) (530 10010100) (611 20000100) (630 100100100)
> (711 200000100) (730 1001000100) (1101 130) (1210 1210) (2020 2020)

But 12 and 110 are not mutually self-desribing:  110 says 1 zero, one one
and 0 2's, so it describes just one legal number, 10, not 12

- or am i confused?

Neil