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A213600 Triangle T(n,k) read by rows: Number of Dyck n-paths with midpoint at height k. 0
1, 0, 1, 1, 0, 1, 0, 4, 0, 1, 4, 0, 9, 0, 1, 0, 25, 0, 16, 0, 1, 25, 0, 81, 0, 25, 0, 1, 0, 196, 0, 196, 0, 36, 0, 1, 196, 0, 784, 0, 400, 0, 49, 0, 1, 0, 1764, 0, 2304, 0, 729, 0, 64, 0, 1, 1764, 0, 8100, 0, 5625, 0, 1225, 0, 81, 0, 1, 0, 17424, 0, 27225, 0, 12100, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Triangle begins

1

0    1

1    0    1

0    4    0    1

4    0    9    0    1

0    25   0    16   0    1

25   0    81   0    25   0    1

0    196  0    196  0    36   0    1

196  0    784  0    400  0    49   0    1

0    1764 0    2304 0    729  0    64   0    1

1764 0    8100 0    5625 0    1225 0    81   0    1

LINKS

Table of n, a(n) for n=0..72.

FORMULA

T(n,k) = A053121(n,k)^2.

CROSSREFS

Sequence in context: A115636 A292143 A281441 * A178104 A172545 A124321

Adjacent sequences:  A213597 A213598 A213599 * A213601 A213602 A213603

KEYWORD

nonn,tabl

AUTHOR

David Scambler, Jun 14 2012

STATUS

approved

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Last modified September 20 04:16 EDT 2021. Contains 347577 sequences. (Running on oeis4.)