A352365 - OEIS

A352365

Alternating row sums of A352363.

1, -1, 0, 0, 0, 18, -18, 70, -700, -3850, 574, -56826, 1111572, 3361512, 33911724, 58266780, -2866139848, -16171966382, -313720155122, -333432770154, 6143791050452, 221783648934584, 3761406823258348, 19173257457737964, 157733986443551784, -3667226903663595468

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OFFSET

0,6

LINKS

Robert Israel, Table of n, a(n) for n = 0..174

MAPLE

SwingNumber := proc(n) option remember; n! / iquo(n, 2)!^2 end proc:

f:= n -> add((-1)^k * IncompleteBellB(n, k, seq(SwingNumber(j), j=0..n)), k=0..n):

map(f, [$0..30]); # Robert Israel, Oct 23 2023

CROSSREFS

Cf. A352363.

Sequence in context: A211411 A298378 A299245 * A050686 A165839 A372457