A202229 Number of permutations avoiding the consecutive pattern 41253.

1, 2, 6, 24, 119, 708, 4914, 38979, 347844, 3449022, 37618404, 447603154, 5769631250, 80091726847, 1191215895231, 18898269051750, 318553597247225, 5685472764793353, 107110426612465623, 2124091932221770696, 44228699419853376368, 964802486928888810542

Offset: 1

Author

Ray Chandler, Dec 15 2011

Keywords

• nonn

Comments

a(n) is the number of permutations on [n] that avoid the consecutive pattern 41253. It is the same as the number of permutations which avoid 25413, 31452 or 35214.

Links

• Ray Chandler, Table of n, a(n) for n = 1..40
• A. Baxter, B. Nakamura, and D. Zeilberger. Automatic generation of theorems and proofs on enumerating consecutive Wilf-classes

Crossrefs

Cf. A177523, A202213-A202236.