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

Offset: 0

Author

Peter Luschny, Mar 15 2022

Keywords

• sign

Links

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

Crossrefs

Cf. A352363.

Programs

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