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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

REFERENCES

S. Gao, H. Niederhausen, Sequences Arising From Prudent Self-Avoiding Walks, (submitted to INTEGERS: The Electronic Journal of Combinatorial Number Theory).

LINKS

Table of n, a(n) for n=0..18.

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

Adjacent sequences:  A178032 A178033 A178034 * A178036 A178037 A178038

KEYWORD

nonn,more

AUTHOR

Shanzhen Gao, May 17 2010

STATUS

approved

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Last modified April 11 18:59 EDT 2021. Contains 342888 sequences. (Running on oeis4.)