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A130191
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Square of the Stirling2 matrix A048993.
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6
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1, 0, 1, 0, 2, 1, 0, 5, 6, 1, 0, 15, 32, 12, 1, 0, 52, 175, 110, 20, 1, 0, 203, 1012, 945, 280, 30, 1, 0, 877, 6230, 8092, 3465, 595, 42, 1, 0, 4140, 40819, 70756, 40992, 10010, 1120, 56, 1, 0, 21147, 283944, 638423, 479976, 156072, 24570, 1932, 72, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Without row n=0 and column m=0 this is triangle A039810.
This is an associated Sheffer matrix with e.g.f. of the m-th column (exp(f(x)-1))^m)/m! with f(x)=:exp(x)-1.
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LINKS
| W. Lang, First 10 rows and more.
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FORMULA
| a(n,m)= sum(S2(n,k)*S2(k,m),k=m..n), n>=m>=0,
E.g.f. row polynomials with argument x: exp(x*f(f(z))).
E.g.f. column m: ((exp(exp(x)-1)-1)^m)/m!.
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EXAMPLE
| [1];[0,1];[0,2,1];[0,5,6,1];[0,15,32,12,1];...
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CROSSREFS
| Row sums: A000258. Alternating row sums A130410.
Sequence in context: A030206 A133336 A176056 * A059720 A140589 A137477
Adjacent sequences: A130188 A130189 A130190 * A130192 A130193 A130194
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Jun 01 2007
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