A202221 Number of permutations avoiding the consecutive pattern 41523.

1, 2, 6, 24, 119, 708, 4914, 38976, 347790, 3448212, 37606536, 447426144, 5766888120, 80047243080, 1190459039364, 18884750846976, 318300264871440, 5680496863401840, 107008122578788800, 2121893387875882944, 44179385761361239200, 963649662245743556160

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 41523. It is the same as the number of permutations which avoid 24153, 31524, 35142, 42513, 25143, 32514 or 34152.

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.