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A243776
Number of Dyck paths of semilength n having exactly seven (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1).
3
17, 0, 0, 0, 0, 16128, 0, 0, 6695, 2100, 0, 53635915, 15338708, 72, 2004080, 715058696, 158698944, 8215899828, 8360997120, 861521760, 42073200, 103648453795647, 0, 4069967184, 3363112380658, 16806651486228, 1514241262404859, 1140768813493596, 18600198213831560
OFFSET
10,1
LINKS
EXAMPLE
a(10) = 17: UDUDUDUDUDUDUDUDUUDD, UDUDUDUDUDUDUDUUDUDD, UDUDUDUDUDUDUUDUDUDD, UDUDUDUDUDUUDUDUDUDD, UDUDUDUDUUDUDUDUDUDD, UDUDUDUUDUDUDUDUDUDD, UDUDUUDUDUDUDUDUDUDD, UDUUDUDUDUDUDUDUDUDD, UUDDUDUDUDUDUDUDUDUD, UUDUDDUDUDUDUDUDUDUD, UUDUDUDDUDUDUDUDUDUD, UUDUDUDUDDUDUDUDUDUD, UUDUDUDUDUDDUDUDUDUD, UUDUDUDUDUDUDDUDUDUD, UUDUDUDUDUDUDUDDUDUD, UUDUDUDUDUDUDUDUDDUD, UUUDUDUDUDUDUDUDUDDD.
CROSSREFS
Column k=7 of A243752.
Main diagonal of A243833.
Sequence in context: A330716 A341690 A341689 * A338801 A198631 A185685
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Jun 10 2014
STATUS
approved