A134280 Triangle of numbers obtained from the partition array A134279.

1, 6, 1, 66, 6, 1, 1056, 102, 6, 1, 22176, 1452, 102, 6, 1, 576576, 32868, 1668, 102, 6, 1, 17873856, 779328, 35244, 1668, 102, 6, 1, 643458816, 23912064, 843480, 36540, 1668, 102, 6, 1, 26381811456, 812173824, 25416072, 857736, 36540, 1668, 102, 6, 1

Offset

1,2

Comments

This triangle is named S2(6)'.

In the same manner the unsigned Lah triangle A008297 is obtained from the partition array A130561.

Links

Table of n, a(n) for n=1..45.

W. Lang, First 10 rows and more.

Formula

a(n,m)=sum(product(S2(6;j,1)^e(n,m,k,j),j=1..n),k=1..p(n,m)) if n>=m>=1, else 0. Here p(n,m)=A008284(n,m), the number of m parts partitions of n and e(n,m,k,j) is the exponent of j in the k-th m part partition of n. S2(6;j,1) = A049385(n,1) = A008548(n) = (5*n-4)(!^5)(quintuple- or 5-factorials).

Example

[1]; [6,1]; [66,6,1]; [1056,102,6,1]; [22176,1452,102,6,1]; ...

Crossrefs

Cf. A134275 (S2(5)').

Cf. A134281 (row sums).

Cf. A134282 (alternating row sums).

Sequence in context: A364110 A197655 A134279 * A134278 A049385 A266364

Adjacent sequences: A134277 A134278 A134279 * A134281 A134282 A134283

Keyword

nonn,easy,tabl

Author

Wolfdieter Lang, Nov 13 2007

Status

approved