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A134135
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Alternating row sums of triangle A134134.
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1
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1, 1, 5, 15, 93, 551, 4129, 33607, 312929, 3179343, 35602881, 432201743, 5678740945, 80142780751, 1210609725905, 19481112885231, 332836223507793, 6016678424942063, 114746996449871761, 2302527084416470255
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OFFSET
| 1,3
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COMMENTS
| Difference of numbers sum(product(j!^e(n,m,k,j),j=1..n),k=1..p(n,m)) related to odd and even part m partitions of n. Here e(n,m,k,j) is the exponent of j in the k-th m part partition of n and p(n,m)=A00824(n,m) is the number of partitions of n with m parts.
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FORMULA
| a(n)=sum(A134134(n,m)*(-1)^(m-1),m=1..n),n>=1.
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CROSSREFS
| Cf. A077365 (row sums of A134134).
Sequence in context: A058820 A054363 A184438 * A121869 A118412 A068622
Adjacent sequences: A134132 A134133 A134134 * A134136 A134137 A134138
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Oct 12 2007
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