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A141824 Antidiagonals of table A047888 (which counts longest increasing subsequences and pattern avoidances). 2
1, 2, 4, 9, 24, 75, 269, 1095, 5039, 26084, 150356, 952526, 6553011, 48553418, 385693800, 3277413802, 29741002168, 287555932433, 2952769116993, 32079033571080, 367336668735826, 4419518218479215, 55733223965845539, 735448682261126767, 10142738983005750681 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Note that:
A000108 avoids string "123"
A005808 avoids string "1234"
A047889 avoids string "12345"
Note also that the left half and central diagonal of A047888 are partial sums of table A047874.
LINKS
EXAMPLE
We can write A141824(n) = 1 2 4 9 24 ... because A047888 begins
1;
1, 1;
1, 2, 1;
1, 5, 2, 1;
1, 14, 6, 2, 1;
etc.
CROSSREFS
Cf. A000108 (Catalan numbers), A005808, A047889, A047874.
Sequence in context: A236756 A291378 A125654 * A005001 A091151 A093542
KEYWORD
nonn
AUTHOR
Alford Arnold, Jul 08 2008
EXTENSIONS
a(12)-a(25) from Alois P. Heinz, Apr 10 2012
STATUS
approved

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Last modified April 16 10:08 EDT 2024. Contains 371698 sequences. (Running on oeis4.)