[seqfan] Constant with 2-Adic Valuation Continued Fraction
Hans Havermann
pxp at rogers.com
Fri Nov 19 06:54:44 CET 2004
Robert G. Wilson:
> The increasing PQ's are:
> 1, 4, 74, 8457, 186282390, 430917181166219,
> 41151315877490090952542206046,
> 13991468824374967392702752173757116934238293984253807017,
> 36598324105860613463778234224980053029230366701976106078497358565722574
> 084911463505856982751401419117789561,
> ..., . But the positions of the above PQ's are: 1, 3, 5, 7, 9, 15, 21,
> 35, 71, 143, 291, 635, 1407, 2979, 6101, 12339, 25019, 50413, 101340,
> 202792, ..., out of the 812695 that I generated. Also the last one is
> a 170781 decimal digit number.
I get 101339, 202793 for those last two positions, and 209613 digits
for that last number. In fact, the ratio of number-of-digits (of PQ's)
to position number is about 1.03 for the last *eight* of {1, 3, 5, 7,
9, 15, 21, 35, 71, 143, 291, 635, 1407, 2979, 6101, 12339, 25019,
50413, 101339, 202793, 405745, 811365, 1624043, 3249293, 6502711,
13011309}.
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