A202224 Number of permutations avoiding the consecutive pattern 42351.

1, 2, 6, 24, 119, 708, 4914, 38980, 347837, 3448792, 37614098, 447530960, 5768427763, 80071232808, 1190854748337, 18891645882204, 318426891675529, 5682942507677216, 107057693682517823, 2122945762085834896, 44202742291011618712, 964190646266565855612

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 42351. It is the same as the number of permutations which avoid 15324, 24315 or 51342.

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.