A296293 - cp's OEIS frontend

A296293 Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n), where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.

n	a(n)
0	1
1	2
2	13
3	33
4	74
5	147
6	275
7	492
8	855
9	1455
10	2450
11	4070
12	6712
13	11003
14	17967
15	29255
16	47542
17	77154
18	125092
19	202683
20	328255
21	531463
22	860290
23	1392374
24	2253336
25	3646435
26	5900551
27	9547823
28	15449270
29	24998079
30	40448399
31	65447594
32	105897177
33	171346025
34	277244528

[1, 2, 13, 33, 74, 147, 275, 492, 855, 1455, 2450, 4070, 6712, 11003, 17967, 29255, 47542, 77154, 125092, 202683, 328255, 531463, 860290, 1392374, 2253336, 3646435, 5900551, 9547823, 15449270, 24998079, 40448399, 65447594, 105897177, 171346025, 277244528]

cp's OEIS Frontend

A296293 Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n*b(n), where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences.

Table of values

List of values