[seqfan] Re: Add (to me) my even biggest digit

[Eric Angelini]

Ah, thank you Juan -- I'm pretty sure now 
that no such infinite seq is possible. At some point, it will halt.
Best,
É.
Catapulté de mon aPhone

> Le 12 oct. 2014 à 21:35, "Juan Arias de Reyna" <arias at us.es> a écrit :
> 
> In this case it stops at 700
> 
> 2, 4, 8, 16, 22, 24, 28, 36, 42, 46, 52, 54, 58, 66, 72, 74, 78, 86, 94, 98, 
> 106, 112, 114, 118, 126, 132, 134, 138, 146, 152, 154, 158, 166, 172, 174, 
> 178, 186, 194, 198, 206, 212, 214, 218, 226, 232, 234, 238, 246, 252, 254, 
> 258, 266, 272, 274, 278, 286, 294, 298, 306, 312, 314, 318, 326, 332, 334, 
> 338, 346, 352, 354, 358, 366, 372, 374, 378, 386, 394, 398, 406, 412, 416, 
> 422, 426, 432, 436, 442, 446, 452, 456, 462, 468, 476, 482, 490, 494, 498, 
> 506, 512, 514, 518, 526, 532, 534, 538, 546, 552, 554, 558, 566, 572, 574, 
> 578, 586, 594, 598, 606, 612, 618, 626, 632, 638, 646, 652, 658, 666, 672, 
> 678, 686, 694, 700, 700 
> 
> 
>> On 12/10/2014, at 21:03, Eric Angelini <Eric.Angelini at kntv.be> wrote:
>> 
>> Hello SeqFans,
>> I'm playing around with integers to 
>> which one would add their biggest
>> even digit.
>> 
>> The rule:
>>> To get a(n+1), add to a(n) its biggest
>> even digit. Iterate.
>> 
>> Is there an infinite such sequence?
>> If yes, it might start with a(1)=2:
>> 
>> E=2,4,8,16,22,24,28,36,42,46,52,54,
>> 58,66,72,74,78,86,94,98,106,...
>> 
>> But I'm not sure E won't stop at some 
>> point.
>> 
>> This is because the sequence starting 
>> for instance with a(1)=804 indeed 
>> stops:
>> 
>> 804,812,820,... ,884,892, 900 END.
>> 
>> Best,
>> É.
>> 
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>> 
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> 
> 
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