Identical-digit blocks in decimal representation of partition numbers
Joseph Biberstine
jrbibers at indiana.edu
Thu Aug 10 04:57:15 CEST 2006
While I don't personally find "base" or "word" sequences interesting
(at all), even I wouldn't call them repugnant. My opinion is that even
this has some small merit. Hopefully I'm not answering a rhetorical
question.
-JRB
N. J. A. Sloane wrote:
> JVP said:
>
>> This is a dumb base thing to do, but...
>>
>> scanning njas' b-list for partition number
>> http://www.research.att.com/~njas/sequences/b000009.txt
>> I notice these smallest k such that P(k), base 10, has n consecutive
>> identical digits:
>>
>> n=1: P(0) = 1
>> n=2: P(14) = 22
>> n=3: P(28) = 222
>> n=4: P(331) = 519999315040
>> n=5: P(1518) = 3816666699150439747483571506
>> n=6: ???
>
>
> Me: Am I the only seqfan who finds this kind of investigation
> extremely repugnant?
>
> Good mathematics can be beautiful: this is not.
>
> NJAS
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