A202226 Number of permutations avoiding the consecutive pattern 34125.

1, 2, 6, 24, 119, 708, 4914, 38979, 347829, 3448722, 37613451, 447524466, 5768361795, 80070563433, 1190848464594, 18891604332045, 318427172178204, 5682965018856093, 107058447534630429, 2122967250258006555, 44203325864880537180, 964206345760838800371

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 34125. It is the same as the number of permutations which avoid 14523, 32541 or 52143.

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.