Identical-digit blocks in decimal representation of partition numbers

[N. J. A. Sloane]

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