[seqfan] A004143 From the powers that be

[Sean A. Irvine]

I have been trying to reproduce A004143.  Since it is the festive season,
perhaps looking at this sequence titled "From the powers that be" is
appropriate :-)

I think the offset for this sequence is wrong, the first term should be
a(1)=0, rather than a(2)=0.  The sequence of values that I get is,

0, 1, 2, 5, 10, 40, 40, 105, 5627, 14501, 330861, 658110, 897229.

This differs from the existing values in that I have a(8) = 105 rather than
the 106 given in the OEIS and in Eggleton et al. paper.  My chain of powers
for this case runs:

2^105 > 3^66 > 5^45 > 7^37 > 11^30 > 13^28 > 17^25 > 19^24,

with each power satisfying p_i^{m_i} <= 2^105 < p_i^{m_i+1}.

Since this is an old sequence, I would quite like an independent
verification of this before modifying the entry.

Regards,
Sean.