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A202059 Number of ascent sequences avoiding the pattern 100. 5
1, 1, 2, 5, 14, 44, 153, 583, 2410, 10721, 50965, 257393, 1374187, 7722862, 45520064, 280502924, 1802060232, 12040040899, 83475921469, 599400745354, 4449689901306, 34096169966924, 269286884243138, 2189193150557825 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

It appears that no formula or g.f. is known.

LINKS

Table of n, a(n) for n=0..23.

P. Duncan and Einar Steingrimsson, Pattern avoidance in ascent sequences, arXiv preprint arXiv:1109.3641, 2011

CROSSREFS

Total number of ascent sequences is given by A022493. Number of ascent sequences avoiding 001 (and others) is A000079; 102 is A007051; 101 is A000108; 000 is A202058; 100 is A202059; 110 is A202060; 120 is A202061; 201 is A202062; 210 is A108304; 0123 is A080937; 0021 is A007317.

Sequence in context: A287252 A204064 A081558 * A014322 A095148 A060996

Adjacent sequences:  A202056 A202057 A202058 * A202060 A202061 A202062

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, Dec 10 2011

EXTENSIONS

Corrected a(7), was 383, but should be 583 according to Duncan-Steimgrimsson paper and independent computation. - Andrew Baxter, Jan 06 2014

a(0) and a(15)-a(21) from Alois P. Heinz, Jan 06 2014

a(22) from Alois P. Heinz, Oct 06 2014

a(23) from Alois P. Heinz, Apr 20 2016

STATUS

approved

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Last modified October 1 00:54 EDT 2020. Contains 337440 sequences. (Running on oeis4.)