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!)
A318397 Triangle read by rows: T(n,k) = binomial(n,k)^2 * binomial(2*(n-k), n-k). 1
1, 2, 1, 6, 8, 1, 20, 54, 18, 1, 70, 320, 216, 32, 1, 252, 1750, 2000, 600, 50, 1, 924, 9072, 15750, 8000, 1350, 72, 1, 3432, 45276, 111132, 85750, 24500, 2646, 98, 1, 12870, 219648, 724416, 790272, 343000, 62720, 4704, 128, 1, 48620, 1042470, 4447872, 6519744, 4000752, 1111320, 141120, 7776, 162, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The square of the triangular matrix {binomial(n, k)^2}_{k=0..n} A008459 read by rows.

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Triangle begins:

   1

   2   1

   6   8   1

  20  54  18   1

  70 320 216  32   1

...

MATHEMATICA

T[ n_, k_] := Binomial[n, k]^2 Binomial[2 n - 2 k, n - k];

PROG

(PARI) {T(n, k) = binomial(n, k)^2 * binomial(2*(n-k), n-k)};

CROSSREFS

Row sums give A002893.

Cf. A008459.

Sequence in context: A318390 A319511 A110608 * A190015 A112007 A113374

Adjacent sequences:  A318394 A318395 A318396 * A318398 A318399 A318400

KEYWORD

nonn,tabl,easy

AUTHOR

Michael Somos, Aug 25 2018

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 June 15 14:55 EDT 2021. Contains 345049 sequences. (Running on oeis4.)