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Search: id:A096130
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A096130 Triangle read by rows: T(n,k) = binomial(k*n,n), 1<=k<=n. +0
3
1, 1, 6, 1, 20, 84, 1, 70, 495, 1820, 1, 252, 3003, 15504, 53130, 1, 924, 18564, 134596, 593775, 1947792, 1, 3432, 116280, 1184040, 6724520, 26978328, 85900584, 1, 12870, 735471, 10518300, 76904685, 377348994, 1420494075, 4426165368, 1, 48620 (list; table; graph; listen)
OFFSET

1,3

FORMULA

T(n, 1) = 1;

T(n, 2) = A000984(n) for n>1;

T(n, 3) = A005809(n) for n>2;

T(n, n) = A014062(n).

EXAMPLE

Triangle begins:

1

1 6

1 20 84

1 70 495 1820

1 252 3003 15504 53130

...

CROSSREFS

Row-sums give A096131. The leading diagonal is A014062. Cf. A096131.

Cf. A007318.

Sequence in context: A080213 A161151 A146383 this_sequence A120666 A050300 A118394

Adjacent sequences: A096127 A096128 A096129 this_sequence A096131 A096132 A096133

KEYWORD

nonn,tabl

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 04 2004

EXTENSIONS

Corrected and extended by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 09 2005

page 1

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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