A226163 - cp's OEIS frontend

A226163 Determinant of the (p_n-1)/2-by-(p_n-1)/2 matrix with (i,j)-entry being the Legendre symbol ((i^2-((p_n-1)/2)!*j)/p_n), where p_n is the n-th prime.

n	a(n)
2	0
3	-1
4	0
5	0
6	-8
7	-72
8	0
9	0
10	-2061248
11	0
12	-18150912
13	2581719040
14	0
15	0
16	6237406973952
17	0
18	311692729699401728
19	0
20	0
21	2675112340760315428864
22	0
23	0
24	-149670892669766097645487521792
25	162894623351898578070944297779200
26	273248864699809403831952842162176
27	0
28	0
29	-13518055482368485085619549462056665088
30	4364947372586985974930810143672643878912

[0, -1, 0, 0, -8, -72, 0, 0, -2061248, 0, -18150912, 2581719040, 0, 0, 6237406973952, 0, 311692729699401728, 0, 0, 2675112340760315428864, 0, 0, -149670892669766097645487521792, 162894623351898578070944297779200, 273248864699809403831952842162176, 0, 0, -13518055482368485085619549462056665088, 4364947372586985974930810143672643878912]

cp's OEIS Frontend

A226163 Determinant of the (p_n-1)/2-by-(p_n-1)/2 matrix with (i,j)-entry being the Legendre symbol ((i^2-((p_n-1)/2)!*j)/p_n), where p_n is the n-th prime.

Table of values

List of values