What function/equation describes this plot?

[skyeaton]

Hi everyone,
I was doing some recreational math and i came up with this nice graph and i was wondering if there was an equation/function to describe it.



Here is the table of numbers used to make the plot. From these numbers and the plot I'm sure you can all see the patterns and are able to continue the sequence indefinitely, but is there a nice equation relating x and y?

x	y
1	2
3	1
5	4
7	1
9	2
11	1
13	3
15	1
17	2
19	1
21	6
23	1
25	2
27	1
29	3
31	1
33	2
35	1
37	4
39	1
41	2
43	1
45	3
47	1
49	2
51	1
53	5
55	1
57	2
59	1
61	3
63	1
65	2
67	1
69	4
71	1
73	2
75	1
77	3
79	1
81	2
83	1
85	7
87	1
89	2
91	1
93	3
95	1
97	2
99	1
101	4
103	1
105	2
107	1
109	3
111	1
113	2
115	1
117	5
119	1
121	2
123	1
125	3
127	1
129	2
131	1
133	4
135	1
137	2
139	1
141	3
143	1
145	2
147	1
149	6
151	1
153	2
155	1
157	3
159	1
161	2
163	1
165	4
167	1
169	2
171	1
173	3
175	1
177	2
179	1
181	5
183	1
185	2
187	1
189	3
191	1
193	2
195	1
197	4
199	1
201	2
203	1
205	3
207	1
209	2
211	1
213	8
215	1
217	2
219	1
221	3
223	1
225	2
227	1
229	4
231	1
233	2
235	1
237	3
239	1
241	2
243	1
245	5
247	1
249	2
251	1

 

[mmm4444bot]

Your table is a list of discrete points.

Your image shows them connected with line segments.

You asked about a function to describe "it".

Is "it" the table of values or the piecewise graph?

 

[skyeaton]

yes sorry ignore the line segments, "it" is the table of values.

 

[skyeaton]

Your table is a list of discrete points.

Your image shows them connected with line segments.

You asked about a function to describe "it".

Is "it" the table of values or the piecewise graph?

Sorry, not the line segments. "it" is the table of values. I've updated the plot

 

[gregk]

The graph reminds me of Thomae's function. Also see OEIS A001511.