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Experimental Mathematics Seminar

Eric Angelini's Comma Sequence

Neil Sloane, OEIS and Rutgers

Location: [password: The 20th Catalan number, alias (40)!/(20!*21!)
Date & time: Thursday, 18 January 2024 at 5:00PM - 6:00PM

The Comma Transform of a sequence replaces each comma between the terms by the number formed by concatenating the single digits to the left and right of the comma. (E.g., the Comma Transform of the even numbers is 2, 24, 46, 68, 81, 1, ....) The remarkable "comma sequence" is defined by the property that it starts with 1 and its first differences equal its Comma Transform. If there is a choice, choose the smallest possibility. It contains exactly 2137453 terms! This talk, based on joint work with Eric Angelini, Michael Branicky, Giovanni Resta, and David W. Wilson, will analyze this and related sequences

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