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A178035 a(n) is the number of the two-sided n-step prudent walks ending on the top side of their box, avoiding both patterns Left^k and Down^k for k>=3. 1
1, 3, 7, 18, 44, 110, 273, 679, 1687, 4191, 10406, 25830, 64097, 159015, 394391, 977939, 2424370, 5977180, 14756906 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
S. Gao and H. Niederhausen, Sequences Arising From Prudent Self-Avoiding Walks, 2010.
CROSSREFS
Cf. A177794 as the coefficients of the formal power series solution of the kernel equation of the generating function of this sequence.
Sequence in context: A182995 A027967 A181306 * A000226 A291734 A291229
KEYWORD
nonn,more
AUTHOR
Shanzhen Gao, May 17 2010
STATUS
approved

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Last modified May 14 13:07 EDT 2024. Contains 372533 sequences. (Running on oeis4.)