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A090642 Triangle read by rows: T(n,k) = binomial(n^2, k), 0 <= k <= n. 11
1, 1, 1, 1, 4, 6, 1, 9, 36, 84, 1, 16, 120, 560, 1820, 1, 25, 300, 2300, 12650, 53130, 1, 36, 630, 7140, 58905, 376992, 1947792, 1, 49, 1176, 18424, 211876, 1906884, 13983816, 85900584, 1, 64, 2016, 41664, 635376, 7624512, 74974368, 621216192 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

A066382(n) = Sum_{k=0..n} T(n,k).

LINKS

Nathaniel Johnston, Rows 0..100, flattened

EXAMPLE

Triangle begins:

  1;

  1,  1;

  1,  4,   6;

  1,  9,  36,   84;

  1, 16, 120,  560,  1820;

  1, 25, 300, 2300, 12650,  53130;

  1, 36, 630, 7140, 58905, 376992, 1947792;

  ...

MAPLE

for n from 0 to 6 do seq(binomial(n^2, k), k=0..n); od; # Nathaniel Johnston, Jun 24 2011

CROSSREFS

Cf. A007318 (Pascal's triangle), A014062 (right diagonal).

Sequence in context: A021688 A119439 A290823 * A100612 A322778 A079160

Adjacent sequences:  A090639 A090640 A090641 * A090643 A090644 A090645

KEYWORD

nonn,tabl,easy

AUTHOR

Reinhard Zumkeller, Dec 13 2003

STATUS

approved

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Last modified July 25 10:05 EDT 2021. Contains 346289 sequences. (Running on oeis4.)