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Number of nondecreasing arrangements of n numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*x(i)^2 zero.
1

%I #11 Sep 19 2023 08:20:51

%S 1,7,10,57,159,862,3796,20224,105208,573982,3155734,17684829,

%T 100137017,572950408,3306528276,19236540159,112697134709,664463497819,

%U 3940606012738,23495237570884,140776873966346,847335263797688,5121621014549082

%N Number of nondecreasing arrangements of n numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*x(i)^2 zero.

%e All solutions for n=3

%e .-5...-3...-1....0...-7...-6...-5...-4...-2...-4

%e ..0....0....0....0....0....0....3...-3....0....0

%e ..5....3....1....0....7....6....4....5....2....4

%Y Column 6 of A188002.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 18 2011

%E a(17) onward from _Max Alekseyev_, Sep 18 2023