Generalized Catalan Numbers and Generalized Hankel Transformations
نویسنده
چکیده
so that an is the sum of the n th and n + 1 Catalan numbers. Then the Hankel transform of {a0, a1, a2, . . .} begins 2, 5, 13, 34, . . .. Layman first conjectured in the On-Line Encyclopedia of Integer Sequences ([4], see sequence A001906) that this sequence consists of every other Fibonacci number, and subsequently Cvetković, Rajković and Ivković [2] proved this conjecture. The current paper arose out of an attempt to understand and generalize this result.
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