login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A193633 Triangle: T(n,k)=C(4n,2k), 0<=k<=n. 3
1, 1, 6, 1, 28, 70, 1, 66, 495, 924, 1, 120, 1820, 8008, 12870, 1, 190, 4845, 38760, 125970, 184756, 1, 276, 10626, 134596, 735471, 1961256, 2704156, 1, 378, 20475, 376740, 3108105, 13123110, 30421755, 40116600, 1, 496, 35960, 906192, 10518300 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..40.

FORMULA

T(n,k)=C(4n,2k), 0<=k<=n.

EXAMPLE

First 5 rows of A193633:

1

1...6

1...28....70

1...66....495....924

1...120...1820...8008...12870

MATHEMATICA

p[n_, k_] := Binomial[4 n, 2 k];

TableForm[Table[p[n, k], {n, 0, 8}, {k, 0, n}]]

Flatten[%]

CROSSREFS

Cf. A193632.

Sequence in context: A278756 A147327 A145629 * A176289 A118933 A046212

Adjacent sequences:  A193630 A193631 A193632 * A193634 A193635 A193636

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Aug 01 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 18 08:10 EDT 2021. Contains 348066 sequences. (Running on oeis4.)