login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A193634 Triangle: T(n,k)=C(4n+1,2k), 0<=k<=n. 1
1, 1, 10, 1, 36, 126, 1, 78, 715, 1716, 1, 136, 2380, 12376, 24310, 1, 210, 5985, 54264, 203490, 352716, 1, 300, 12650, 177100, 1081575, 3268760, 5200300, 1, 406, 23751, 475020, 4292145, 20030010, 51895935, 77558760, 1, 528, 40920, 1107568 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..39.

FORMULA

T(n,k)=C(4n+1,2k), 0<=k<=n.

EXAMPLE

First 5 rows of A193634:

1

1....10

1....46....226

1....124...2597....9772

1....260...14649...204300...662036

MATHEMATICA

p[n_, k_] := Binomial[4 n + 1, 2 k];

Table[p[n, k], {n, 0, 9}, {k, 0, n}]  (* A193634 *)

Flatten[%]

CROSSREFS

Cf. A193632, A193633.

Sequence in context: A085044 A215268 A059022 * A115097 A050313 A116574

Adjacent sequences:  A193631 A193632 A193633 * A193635 A193636 A193637

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 20 10:32 EDT 2019. Contains 328257 sequences. (Running on oeis4.)