login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A134139
Alternating row sums of triangle A049353 (S1p(5)).
1
1, 4, 16, 44, -244, -7336, -112664, -1406336, -14058944, -66627136, 1879992896, 85070733824, 2359547577856, 54106723270144, 1055100890838016, 15611883969810944, 48348082318102016, -9055743653514520576, -521351156412528902144
OFFSET
1,2
FORMULA
a(n)=sum(A049353(n,m)*(-1)^(m-1),m=1..n), n>=1.
E.g.f.: 1-exp(-x*(2-x)*(2-2*x+x^2)/(4*(1-x)^4)). Cf. e.g.f. first column of A049353.
CROSSREFS
Cf. A049378 (row sums of A049353).
Sequence in context: A217553 A225379 A359073 * A213501 A097125 A213480
KEYWORD
sign,easy
AUTHOR
Wolfdieter Lang Oct 12 2007
STATUS
approved