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A032349 Number of paths from (0,0) to (3n,0) that stay in first quadrant (but may touch horizontal axis), where each step is (2,1),(1,2) or (1,-1) and start with (2,1). +0
12
1, 4, 24, 172, 1360, 11444, 100520, 911068, 8457504, 80006116, 768464312, 7474561164, 73473471344, 728745517972, 7284188537672, 73301177482172, 742009157612608, 7550599410874820, 77193497566719320, 792498588659426924 (list; graph; listen)
OFFSET

1,2

REFERENCES

Problem 10658, American Math. Monthly, 107, 2000, 368-370.

FORMULA

z A^2, where A is the g. f. of A027307

CROSSREFS

Convolution of A027307 with itself.

Sequence in context: A069722 A027079 A052685 this_sequence A103334 A156017 A000309

Adjacent sequences: A032346 A032347 A032348 this_sequence A032350 A032351 A032352

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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