A269962 - cp's OEIS frontend

A269962 Start with a square; at each stage add a square at each expandable vertex so that the ratio of the side of the squares at stage n+1 and at stage n is the golden ratio phi=0.618...; a(n) is the number of squares at n-th stage.

n	a(n)
1	1
2	5
3	17
4	45
5	105
6	237
7	537
8	1229
9	2825
10	6493
11	14905
12	34189
13	78409
14	179837
15	412505
16	946221
17	2170473
18	4978653
19	11420025
20	26195213
21	60086537
22	137826493
23	316146457
24	725176813
25	1663410601
26	3815531165
27	8752065209
28	20075486925
29	46049151561
30	105627543165

[1, 5, 17, 45, 105, 237, 537, 1229, 2825, 6493, 14905, 34189, 78409, 179837, 412505, 946221, 2170473, 4978653, 11420025, 26195213, 60086537, 137826493, 316146457, 725176813, 1663410601, 3815531165, 8752065209, 20075486925, 46049151561, 105627543165]

cp's OEIS Frontend

A269962 Start with a square; at each stage add a square at each expandable vertex so that the ratio of the side of the squares at stage n+1 and at stage n is the golden ratio phi=0.618...; a(n) is the number of squares at n-th stage.

Table of values

List of values