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"When Erdenberger [6] appeared on the arXiv, John McKay immediately pointed out that this is the list of supersingular primes A002267, the primes that divide the order of the Monster..." [G. K. Sankaran, 2020]

"We used the Online Encyclopedia of Integer Sequences to trace related research..." [Luigi Santocanale, 2019]

"It was a knock-out when after entering the sequence 2,5,15,51,187,715,... in the page OEIS, we found a great variety of different interpretations for it..." [Carlos Segovia, 2013]

"The numbers that came out were 4, 28, 232, 2092, 19864, . . . and we couldn't see a pattern. In desperation, we sent them to superseeker@research.att.com (now superseeker@oeis.org) (a miracle program created by Neil Sloane). ..." [SIAM News, 1999]

"The authors are thankful to the On-Line Encyclopedia of Integer Sequences [12], which drew their attention to plane permutations." [Jannik Silvanus and Jens Vygen, 2017]


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  • Works are arranged in alphabetical order by author's last name.
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  • This section lists works in which the first author's name begins with Sa to Sk.
  • The full list of sections is: A Ba Bi Ca Ci D E F G H I J K L M N O P Q R Sa Sl T U V W X Y Z.
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References

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  42. B. Salvy, Découverte de récurrences
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  54. Maya Sankar, Further Bijections to Pattern-Avoiding Valid Hook Configurations, arXiv:1910.08895 [math.CO], 2019. (A005700, A005789, A151347)
  55. G. K. Sankaran, Locally symmetric varieties and holomorphic symplectic manifolds, University of Bath (UK, 2020). PDF (A002267)

When [6] appeared on the arXiv, John McKay immediately pointed out that this is the list of supersingular primes A002267, the primes that divide the order of the Monster: the same list, recognised by the same person, led to the Moonshine conjectures and the famous work of Borcherds (yielding, among many other things, the Borcherds form Φ). We still do not have a completely satisfactory explanation for this coincidence, although it is not completely mysterious. It is quite likely that it is an artefact of the proof: it could perfectly well be that, for example, A71 is in fact of general type.

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