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A103328 Triangle T(n, k) read by rows: binomial(2n, 2k+1). 8
0, 2, 0, 4, 4, 0, 6, 20, 6, 0, 8, 56, 56, 8, 0, 10, 120, 252, 120, 10, 0, 12, 220, 792, 792, 220, 12, 0, 14, 364, 2002, 3432, 2002, 364, 14, 0, 16, 560, 4368, 11440, 11440, 4368, 560, 16, 0, 18, 816, 8568, 31824, 48620, 31824, 8568, 816, 18, 0, 20, 1140, 15504 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

A subset of Pascal's triangle A007318 with only even elements.

REFERENCES

A. T. Benjamin and J. J. Quinn, Proofs that really count: the art of combinatorial proof, M.A.A. 2003, id. 224.

LINKS

Table of n, a(n) for n=0..57.

EXAMPLE

0

2,0

4,4,0

6,20,6,0

8,56,56,8,0

10,120,252,120,10,0

12,220,792,792,220,12,0

14,364,2002,3432,2002,364,14,0

16,560,4368,11440,11440,4368,560,16,0

CROSSREFS

Cf. A091042, A086645, A103327.

Sequence in context: A265511 A081236 A182059 * A167312 A114122 A319934

Adjacent sequences:  A103325 A103326 A103327 * A103329 A103330 A103331

KEYWORD

nonn,tabl

AUTHOR

Ralf Stephan, Feb 06 2005

STATUS

approved

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Last modified April 2 19:05 EDT 2020. Contains 333190 sequences. (Running on oeis4.)