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Search: id:A134280
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| A134280 |
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Triangle of numbers obtained from the partition array A134279. |
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4
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| 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; listen)
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OFFSET
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1,2
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COMMENT
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This triangle is named S2(6)'.
In the same manner the unsigned Lah triangle A008297 is obtained from the partition array A130561.
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LINKS
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W. Lang, First 10 rows and more.
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FORMULA
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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)(quintupel- or 5-factorials).
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EXAMPLE
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[1];[6,1];[66,6,1];[1056,102,6,1];[22176,1452,102,6,1];...
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CROSSREFS
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Cf. A134275 ( S2(5)').
Cf. A134281 (row sums).
Cf. A134282 (alternating row sums).
Sequence in context: A049213 A056218 A134279 this_sequence A134278 A049385 A009384
Adjacent sequences: A134277 A134278 A134279 this_sequence A134281 A134282 A134283
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Nov 13 2007
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