A134135 Alternating row sums of triangle A134134.

1, 1, 5, 15, 93, 551, 4129, 33607, 312929, 3179343, 35602881, 432201743, 5678740945, 80142780751, 1210609725905, 19481112885231, 332836223507793, 6016678424942063, 114746996449871761, 2302527084416470255

Offset

1,3

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)=A008284(n,m) is the number of partitions of n with m parts.

Links

Table of n, a(n) for n=1..20.

Formula

a(n)=sum(A134134(n,m)*(-1)^(m-1),m=1..n),n>=1.

Crossrefs

Cf. A077365 (row sums of A134134).

Sequence in context: A276474 A362577 A184438 * A292279 A268565 A358197

Adjacent sequences: A134132 A134133 A134134 * A134136 A134137 A134138

Keyword

nonn,easy

Author

Wolfdieter Lang Oct 12 2007

Status

approved