[seqfan] Re: How many ways to dissect a square into 4 congruent pieces

Neil Sloane njasloane at gmail.com
Wed May 13 18:19:33 CEST 2015


Well, don't change the values in A003213, even if they seem to be wrong.
The OEIS policy is to include published sequences that are wrong along with
a pointer to the correct entry.

So, please, create a new entry for the correct terms (once everyone agrees
on what the correct values are), and I will edit A003213 to point to it.

I must say I'm very surprised that Tom Parkin's entries are wrong - he was
normally very reliable, and an expert programmer, and famous for finding a
counter-example to a conjecture of Euler.  Also a vice-president at CDC.
Here are some references in the OEIS to his work:

%D A000104 T. R. Parkin, L. J. Lander and D. R. Parkin, "Polyomino
enumeration results," SIAM Fall Meeting, Santa Barbara, California, 1967.

%H A000230 L. J. Lander and T. R. Parkin, <a href="
http://dx.doi.org/10.1090/S0025-5718-1967-0230677-4">On the first
appearance of prime differences</a>, Math. Comp., 21 (1967), 483-488.

%H A001560 T. R. Parkin and D. Shanks, <a href="
http://www.jstor.org/stable/2003251">On the distribution of parity in the
partition function</a>, Math. Comp., 21 (1967), 466-480.

%H A039664 L. J. Lander, T. R. Parkin and J. L. Selfridge, <a href="
http://links.jstor.org/sici?sici=0025-5718%28196707%2921%3A99%3C446%3AASOESO%3E2.0.CO%3B2-7">A
survey of equal sums of like powers</a>, Math. Comp. vol. 21 no. 99, 1967,
pp. 446-459, Table 1.

%D A048242 Parkin, Thomas R.; Lander, Leon J.; Abundant numbers, Aerospace
Corporation, Los Angeles, 1964, 119 unnumbered pages. Copy deposited in UMT
file.

%H A089180 L. J. Lander and T. R. Parkin, <a href="
http://dx.doi.org/10.1090/S0025-5718-1967-0222008-0">Consecutive primes in
arithmetic progression</a>, Math. Comp. vol 21 no 99 (1967) p 489.

%H A134341 L. J. Lander and T. R. Parkin, <a href="
http://dx.doi.org/10.1090/S0002-9904-1966-11654-3">Counterexample to
Euler's conjecture on sums of like powers</a>, Bull. Amer. Math. Soc. 72
(6) (1966), p. 1079.


Is it possible that he interpreted the problem in a different way?  I do
have several more pages about his calculations that I will scan in and
attach to A003213, in case that will help explain what he was doinmg.  I
will try to do that later today.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Wed, May 13, 2015 at 12:01 PM, Giovanni Resta <g.resta at iit.cnr.it> wrote:

> I also got a(8) = 6371333036059.
>
> Later on, if nobody objects, I could edit A003213 accordingly.
>
> Giovanni
>
>
>
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> Seqfan Mailing list - http://list.seqfan.eu/
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