[seqfan] Re: I need a name for this sequence

Alonso Del Arte alonso.delarte at gmail.com
Fri Jun 10 00:18:10 CEST 2011


I have no idea for the name, but for notation, either (a + b)c = ab + c or
(a + b) * c = a * b + c would be clearer. At first I was wondering "What is
x?"

Al

On Thu, Jun 9, 2011 at 4:39 PM, Claudio Meller <claudiomeller at gmail.com>wrote:

> Take a,b and c with a<b and a<>b,  b<>c
>
> I search for numbers N such N = (a+b) x c = (axb) + c
>
> For example :
> a    b   c     N
> (3 , 4 , 2) = 14
> (5 , 6 , 3) = 33
> (4 , 9 , 3) = 39
>
>
> Sequence :
> 14, 33, 39, 60, 64, 84, 95, 110, 138, 150, 155, 174, 189, 217, 248, 258,
> 259, 272, 315, 324, 360, 368, 390, 399, 405, 410, 430, 473, 504, 530, 539,
> 564, 584, 624, 663, 670, 732, 754, 770, 819, 852, 854, 869, 885, 897, 915,
> 1005, 1008, 1024, 1053, 1056, 1065, 1104, 1110, 1120, 1139, 1155, 1248,
> 1278, 1292, 1360, 1378, 1422, 1425, 1536, 1545, 1580, 1615, 1674, 1743,
> 1760, 1785, 1802, 1806, 1840, 1869, 1914, 1919, 1974, 2002, 2093, 2134,
> 2280, 2289, 2369, 2420, 2475, 2478, 2500, 2544, 2574, 2625, 2678, 2794,
> 2800, 2889, 2990, 2997, 3000, 3000, 3108, 3164, 3248, 3267, 3302, 3325,
> 3335, 3472, 3570, 3668, 3770, 3813, 3990, 4064, 4309, 4323, 4422, 4488,
> 4544, 4590, 4794, 4865, 4884, 5134, 5148, 5184, 5220, 5439, 5508, 5580,
> 5738, 6045, 6279, 6360, 6480, 6640, 6683, 7014, 7353, 7700, 8055, 8145,
> 8418, 8789, 9168, 9555, 9950
>
> How can I define this sequence?
>
> Thanks
> --
> Claudio Meller
> http://grageasdefarmacia.blogspot.com
> http://todoanagramas.blogspot.com/
> http://simplementenumeros.blogspot.com/
>
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