A308363 - cp's OEIS frontend

A308363 a(n) = (1/n!) * Sum_{i_1=1..3} Sum_{i_2=1..3} ... Sum_{i_n=1..3} (-1)^(i_1 + i_2 + ... + i_n) * multinomial(i_1 + i_2 + ... + i_n; i_1, i_2, ..., i_n).

n	a(n)
0	1
1	-1
2	5
3	-120
4	6286
5	-557991
6	74741031
7	-14055359935
8	3529670102365
9	-1140712320228976
10	461095707510195836
11	-227895625979289345441
12	135204234793000554759865
13	-94817763471081620680039785
14	77590302489065260867070145321
15	-73270395178157034753637372218736

[1, -1, 5, -120, 6286, -557991, 74741031, -14055359935, 3529670102365, -1140712320228976, 461095707510195836, -227895625979289345441, 135204234793000554759865, -94817763471081620680039785, 77590302489065260867070145321, -73270395178157034753637372218736]

cp's OEIS Frontend

A308363 a(n) = (1/n!) * Sum_{i_1=1..3} Sum_{i_2=1..3} ... Sum_{i_n=1..3} (-1)^(i_1 + i_2 + ... + i_n) * multinomial(i_1 + i_2 + ... + i_n; i_1, i_2, ..., i_n).

Table of values

List of values