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« 0, 1, 8, 78, 944, 13800, 237432, 4708144, 105822432, 2660215680, 73983185000, 2255828154624, ...: "The sequence that started it all"

0, 1, 8, 78, 944, 13800, 237432, 4708144, 105822432, 2660215680, 73983185000, 2255828154624, ...: "The sequence that started it all"

January 30, 2020, 5:00 PM - 6:00 PM

Location:

Conference Room 705

Rutgers University

Hill Center

110 Frelinghuysen Rd

Piscataway, NJ 08854

Doron Zeilberger, Rutgers University

OEIS sequence A1 (that starts: 0, 1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 5, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 15, 2, 2, 5, 4, 1, 4 ...) is not the chronologically first sequence in the amazing On-Line Encyclopedia of Integer Sequences. This honor goes to OEIS sequence A435, that according to Neil Sloane was the "sequence that started it all". In addition to its immense historical significance it is very interesting mathematically, and leads to new sequences. [Joint work with Yukun Yao]