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 A134134 Triangle of numbers obtained from the partition array A134133. 8
 1, 2, 1, 6, 2, 1, 24, 10, 2, 1, 120, 36, 10, 2, 1, 720, 204, 44, 10, 2, 1, 5040, 1104, 228, 44, 10, 2, 1, 40320, 7776, 1272, 244, 44, 10, 2, 1, 362880, 57600, 8760, 1320, 244, 44, 10, 2, 1, 3628800, 505440, 63936, 9096, 1352, 244, 44, 10, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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(j!^e(n,m,k,j),j=1..n),k=1..p(n,m)) if n>=m>=1, else 0, with 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. EXAMPLE [1];[2,1];[6,2,1];[24,10,2,1];[120,36,10,2,1];... a(4,2)=10 from the sum over the numbers related to the partitions (1,3) and (2^2), namely 1!^1*3!^1 + 2!^2 = 6+4 = 10. CROSSREFS Row sums A077365. Alternating row sums A134135. Sequence in context: A134133 A157392 A321352 * A222005 A325815 A292441 Adjacent sequences:  A134131 A134132 A134133 * A134135 A134136 A134137 KEYWORD nonn,easy,tabl AUTHOR Wolfdieter Lang, Oct 12 2007 STATUS approved

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Last modified May 17 09:03 EDT 2021. Contains 343969 sequences. (Running on oeis4.)