A296295 - cp's OEIS frontend

A296295 Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n), where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.

n	a(n)
0	1
1	4
2	15
3	37
4	80
5	157
6	291
7	518
8	897
9	1523
10	2550
11	4227
12	6969
13	11417
14	18638
15	30340
16	49298
17	79995
18	129689
19	210121
20	340290
21	550936
22	891798
23	1443355
24	2335825
25	3779905
26	6116510
27	9897252
28	16014658
29	25912867
30	41928545
31	67842497
32	109772194
33	177615945
34	287389465

[1, 4, 15, 37, 80, 157, 291, 518, 897, 1523, 2550, 4227, 6969, 11417, 18638, 30340, 49298, 79995, 129689, 210121, 340290, 550936, 891798, 1443355, 2335825, 3779905, 6116510, 9897252, 16014658, 25912867, 41928545, 67842497, 109772194, 177615945, 287389465]

cp's OEIS Frontend

A296295 Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n), where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.

Table of values

List of values