Math Tables & Reference Lab · Sequences & Patterns

Square Number Pattern Table

Squares shown with their first differences to reveal the odd-number pattern.

n	Value	1st difference	2nd difference
1	1	—	—
2	4	3	—
3	9	5	2
4	16	7	2
5	25	9	2
6	36	11	2
7	49	13	2
8	64	15	2
9	81	17	2
10	100	19	2
11	121	21	2
12	144	23	2
13	169	25	2
14	196	27	2
15	225	29	2
16	256	31	2
17	289	33	2
18	324	35	2
19	361	37	2
20	400	39	2
21	441	41	2
22	484	43	2
23	529	45	2
24	576	47	2
25	625	49	2
26	676	51	2
27	729	53	2
28	784	55	2
29	841	57	2
30	900	59	2
31	961	61	2
32	1,024	63	2
33	1,089	65	2
34	1,156	67	2
35	1,225	69	2
36	1,296	71	2
37	1,369	73	2
38	1,444	75	2
39	1,521	77	2
40	1,600	79	2
41	1,681	81	2
42	1,764	83	2
43	1,849	85	2
44	1,936	87	2
45	2,025	89	2
46	2,116	91	2
47	2,209	93	2
48	2,304	95	2
49	2,401	97	2
50	2,500	99	2

How to use this table

Squares shown with their first differences to reveal the odd-number pattern. Use it as a reference, for practice, or to check your own work. On large tables, scroll horizontally on a phone. Tap cells to visually track a row or value.