### An area-to-inv bijection between Dyck paths and 312-avoiding permutations.

Bandlow, Jason, Killpatrick, Kendra (2001)

The Electronic Journal of Combinatorics [electronic only]

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Bandlow, Jason, Killpatrick, Kendra (2001)

The Electronic Journal of Combinatorics [electronic only]

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Claesson, Anders (2005)

The Electronic Journal of Combinatorics [electronic only]

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Chen, William Y.C., Deng, Yu-Ping, Yang, Laura L.M. (2003)

The Electronic Journal of Combinatorics [electronic only]

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Firro, Ghassan, Mansour, Toufik, Wilson, Mark C. (2007)

The Electronic Journal of Combinatorics [electronic only]

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Toufik Mansour, Mark Shattuck (2012)

Open Mathematics

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In this paper, a direct combinatorial proof is given of a result on permutation pairs originally due to Carlitz, Scoville, and Vaughan and later extended. It concerns showing that the series expansion of the reciprocal of a certain multiply exponential generating function has positive integer coefficients. The arguments may then be applied to related problems, one of which concerns the reciprocal of the exponential series for Fibonacci numbers.

Parviainen, Robert (2006)

Journal of Integer Sequences [electronic only]

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Novick, Mordechai (2010)

The Electronic Journal of Combinatorics [electronic only]

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Egge, Eric S., Mansour, Toufik (2003)

The Electronic Journal of Combinatorics [electronic only]

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Reifegerste, Astrid (2003)

The Electronic Journal of Combinatorics [electronic only]

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Reifegerste, Astrid (2003)

The Electronic Journal of Combinatorics [electronic only]

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Firro, Ghassan, Mansour, Toufik (2006)

The Electronic Journal of Combinatorics [electronic only]

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Eu, Sen-Peng, Fu, Tung-Shan (2005)

The Electronic Journal of Combinatorics [electronic only]

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Khoroshkin, Anton, Shapiro, Boris (2011)

The Electronic Journal of Combinatorics [electronic only]

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