duplicate hunting, pt. 16

Andrew Plewe aplewe at sbcglobal.net
Wed May 16 22:42:58 CEST 2007

so one of the G.F.s might be wrong)
	-Andrew Plewe-
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> Possible duplicates:
> A096053 and A107905 (after adjusting for offset in A107905)

According to the formula in A096053, they are dupliate but the
formula is itself unproven. I haven't seen up to now a function
of the Bernoulli numbers equalling a power of 9 but maybe others

> http://www.research.att.com/~njas/sequences/?q=id:A096053|id:A107905
> A096299 and A110382 (possibility noted in comments for A110382)

Definitely not because A110382(1023) = 1234567900 which is not in
lexicographic order. BTW, the g.f. of A110382 is

%F A110382 G.f.: 1/(1+x) * Sum{k>=0, (10^(k+1)-1)/9 * x^2^k/(1+x^2^k) }.

> A085903 and A107664 (the G.F. for A085903 has an extra "x" in the numerator,
> so one of the G.F.s might be wrong)

No that's the different offset. So, if the A085903 g.f. fits to the 
resultant definition, which is probable, they are dupes. I would merge
the resultant comment into A107664 if were Neil.


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