A266740 Number of words on {1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4,...,n,n,n,n} avoiding the pattern 1234.

1, 1, 70, 34650, 16140983, 8854463421, 5532980565456, 3798011394008444, 2798461806432513085, 2179251644112128926809, 1774029308605731224234922, 1497612094060753803137726582, 1303178757814574200714348639251, 1163471249071555286949793002571005

Offset

0,3

Links

Table of n, a(n) for n=0..13.

Ferenc Balogh, A generalization of Gessel's generating function to enumerate words with double or triple occurrences in each letter and without increasing subsequences of a given length, preprint arXiv:1505.01389, 2015.

Shalosh B. Ekhad and Doron Zeilberger, The Generating Functions Enumerating 12..d-Avoiding Words with r occurrences of each of 1,2, ..., n are D-finite for all d and all r, 2014

Crossrefs

Cf. A220097, A266734, A266735, A266737-A266741.

Sequence in context: A177661 A177672 A177299 * A177640 A177641 A177648

Adjacent sequences: A266737 A266738 A266739 * A266741 A266742 A266743

Keyword

nonn

Author

N. J. A. Sloane, Jan 06 2016

Extensions

More terms from Alois P. Heinz, Jan 14 2016

Status

approved