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 A134280 Triangle of numbers obtained from the partition array A134279. 4
 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 (list; table; graph; refs; listen; history; text; internal format)
 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 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: A292219 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

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Last modified August 11 13:02 EDT 2020. Contains 336428 sequences. (Running on oeis4.)