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- W2394366924 abstract "In a previous issue of the Gazette, [1], I showed that the number of n × n upper triangular matrices in which every row consists of a string of 0’s followed by a string of 1’s, and every column consists of a string of 1’s followed by a string of 0’s, is the Catalan number C(n + 2). Douglas Rogers (University of Hawaii) has pointed out that this result is not new. It apparently first appeared in a 1975 paper of Lou Shapiro (Howard University) in the American Mathematical Monthly, [2]. Shapiro’s proof uses Dyck paths rather than bracketings, but is essentially the same as mine. It is also curious that Shapiro used this correspondence to solve a problem similar to mine, namely classifying the ideals in the ring of n× n upper triangular matrices over a field." @default.
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- W2394366924 date "2003-01-01" @default.
- W2394366924 modified "2023-09-27" @default.
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