A306597 - cp's OEIS frontend

A306597 a(n) = Card({ Sum_{k=1..n}(x_k * k) : (x_k){k=1..n}</span> is an n-tuple of nonnegative integers such that <span class="maths">Sum{k=1..n}(x_k * T_k) = T_n }), where T_k denotes the k-th triangular number.

n	a(n)
1	1
2	2
3	4
4	6
5	9
6	15
7	20
8	27
9	34
10	43
11	52
12	63
13	75
14	87
15	102
16	117
17	132
18	149
19	166
20	185
21	206
22	226
23	248
24	271
25	294
26	318
27	345
28	373
29	399
30	429
31	459
32	489
33	520
34	554
35	587
36	623
37	658
38	695
39	734
40	772
41	811
42	853
43	894
44	936
45	981
46	1026
47	1072
48	1119
49	1167
50	1215
51	1266
52	1316
53	1368
54	1420

[1, 2, 4, 6, 9, 15, 20, 27, 34, 43, 52, 63, 75, 87, 102, 117, 132, 149, 166, 185, 206, 226, 248, 271, 294, 318, 345, 373, 399, 429, 459, 489, 520, 554, 587, 623, 658, 695, 734, 772, 811, 853, 894, 936, 981, 1026, 1072, 1119, 1167, 1215, 1266, 1316, 1368, 1420]

cp's OEIS Frontend

A306597 a(n) = Card({ Sum_{k=1..n}(x_k * k) : (x_k){k=1..n}</span> is an n-tuple of nonnegative integers such that <span class="maths">Sum{k=1..n}(x_k * T_k) = T_n }), where T_k denotes the k-th triangular number.

Table of values

List of values