A176849 Triangle read by rows which contains the (6n)-th row of the Pascal triangle in row n.

1, 1, 6, 15, 20, 15, 6, 1, 1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1, 1, 18, 153, 816, 3060, 8568, 18564, 31824, 43758, 48620, 43758, 31824, 18564, 8568, 3060, 816, 153, 18, 1, 1, 24, 276, 2024, 10626, 42504, 134596, 346104, 735471, 1307504

Offset

0,3

Comments

Row sums are A089357(n).

Links

Table of n, a(n) for n=0..49.

Formula

T(n,m)=binomial(6*n, m) = A007318(6*n,m), 0<=m<=n.

Example

1;
1, 6, 15, 20, 15, 6, 1;
1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1;
1, 18, 153, 816, 3060, 8568, 18564, 31824, 43758, 48620, 43758, 31824, 18564, 8568, 3060, 816, 153, 18, 1;
1, 24, 276, 2024, 10626, 42504, 134596, 346104, 735471, 1307504, 1961256, 2496144, 2704156, 2496144, 1961256, 1307504, 735471, 346104, 134596, 42504, 10626, 2024, 276, 24, 1;

Mathematica

t[n_, m_] := Binomial[6*n, m];
Table[Table[t[n, m], {m, 0, 6*n}], {n, 0, 10}];
Flatten[%]

Crossrefs

Cf. A164278

Sequence in context: A173680 A230209 A277951 * A087110 A063266 A131892

Adjacent sequences: A176846 A176847 A176848 * A176850 A176851 A176852

Keyword

nonn,tabf,easy

Author

Roger L. Bagula, Apr 27 2010

Status

approved