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Number of nondecreasing arrangements of n numbers x(i) in -(n+3)..(n+3) with the sum of sign(x(i))*x(i)^2 zero.
1

%I #8 Dec 26 2023 23:50:45

%S 1,6,9,46,117,636,2596,13343,66452,354806,1898800,10452050,58080269,

%T 327389928,1863061322,10707246833,62028855007,362078074528,

%U 2127680924575,12580327500008,74800656700824,447053889525102,2684568476124840,16191874238303244

%N Number of nondecreasing arrangements of n numbers x(i) in -(n+3)..(n+3) with the sum of sign(x(i))*x(i)^2 zero.

%C Column 5 of A188002.

%e All solutions for n=3

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

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

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

%Y Cf. A188002.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 18 2011

%E Terms from a(17) on by _R. J. Mathar_, May 10 2023