A202223 Number of permutations avoiding the consecutive pattern 45213.

1, 2, 6, 24, 119, 708, 4914, 38977, 347808, 3448482, 37610495, 447485376, 5767807974, 80062182733, 1190713519497, 18889300119942, 318385578137273, 5682173514985293, 107042610409389945, 2122634830121877061, 44196021893249998467, 964038681151139896083

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 45213. It is the same as the number of permutations which avoid 21453, 31254 or 35412.

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.