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A134135 Alternating row sums of triangle A134134. 1
1, 1, 5, 15, 93, 551, 4129, 33607, 312929, 3179343, 35602881, 432201743, 5678740945, 80142780751, 1210609725905, 19481112885231, 332836223507793, 6016678424942063, 114746996449871761, 2302527084416470255 (list; graph; refs; listen; history; text; internal format)
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: A211944 A276474 A184438 * A292279 A268565 A121869

Adjacent sequences:  A134132 A134133 A134134 * A134136 A134137 A134138

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang Oct 12 2007

STATUS

approved

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Last modified April 20 14:27 EDT 2019. Contains 322310 sequences. (Running on oeis4.)