A316946 - cp's OEIS frontend

A316946 A triple of positive integers (n,p,k) is admissible if there exist at least two different multisets of k positive integers, {x_1,x_2,...,x_k} and {y_1,y_2,...,y_k}, such that x_1+x_2+...+x_k = y_1+y_2+...+y_k = n and x_1x_2...x_k = y_1y_2...y_k = p. For each n, let A(n) = {p:(n,p,k) is admissible for some k}, and let a(n) = |A(n)|.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	0
9	0
10	0
11	0
12	1
13	2
14	5
15	6
16	10
17	14
18	19
19	26
20	33
21	43
22	54
23	68
24	87
25	106
26	129
27	157
28	187
29	226
30	269
31	319
32	378
33	445
34	521
35	610
36	712
37	825
38	952
39	1099
40	1261
41	1443
42	1655
43	1889
44	2148
45	2440
46	2769
47	3135
48	3542
49	4000
50	4494
51	5049
52	5661
53	6346
54	7099
55	7938
56	8857
57	9862
58	10972
59	12190
60	13532
61	15000
62	16611
63	18366

[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 6, 10, 14, 19, 26, 33, 43, 54, 68, 87, 106, 129, 157, 187, 226, 269, 319, 378, 445, 521, 610, 712, 825, 952, 1099, 1261, 1443, 1655, 1889, 2148, 2440, 2769, 3135, 3542, 4000, 4494, 5049, 5661, 6346, 7099, 7938, 8857, 9862, 10972, 12190, 13532, 15000, 16611, 18366]

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