Addition To Powers

Click here for formulaic interpretations of the following chart. Here for the "rules" of accumulation. Here for a commentary.

	1	²	3	⁴	5	⁶	7	⁸	9	¹⁰	11	¹²	13	¹⁴	15	¹⁶	17	¹⁸	19	²⁰	21	²²	23	²⁴	25	²⁶	27	²⁸	29	³⁰	31	³²	33	³⁴	35	³⁶	37
2nd power	1		4		9		16		25		36		49		64		81		100		121		144		169		196		225		256		289		324		361

	1	2	³	4	5	⁶	7	8	⁹	10	11	¹²	13	14	¹⁵	16	17	¹⁸	19	20	²¹	22	23	²⁴	25	26	²⁷	28	29	³⁰	31	32	³³	34	35	³⁶	37
	1	³		7	¹²		19	²⁷		37	⁴⁸		61	⁷⁵		91	¹⁰⁸		127	¹⁴⁷		169	¹⁹²		217	²⁴³		271	³⁰⁰		331	³⁶³		397	⁴³²		469
3rd power	1			8			27			64			125			216			343			512			729			1000			1331			1728			2197

	1	2	3	⁴	5	6	7	⁸	9	10	11	¹²	13	14	15	¹⁶	17	18	19	²⁰	21	22	23	²⁴	25	26	27	²⁸	29	30	31	³²	33	34	35	³⁶	37
	1	3	⁶		11	17	²⁴		33	43	⁵⁴		67	81	⁹⁶		113	131	¹⁵⁰		171	193	²¹⁶		241	267	²⁹⁴		323	353	³⁸⁴		417	451	⁴⁸⁶		523
	1	⁴			15	³²			65	¹⁰⁸			175	²⁵⁶			369	⁵⁰⁰			671	⁸⁶⁴			1105	¹³⁷²			1695	²⁰⁴⁸			2465	²⁹¹⁶			3439
4th power	1				16				81				256				625				1296				2401				4096				6561				10000

	1	2	3	4	⁵	6	7	8	9	¹⁰	11	12	13	14	¹⁵	16	17	18	19	²⁰	21	22	23	24	²⁵	26	27	28	29	³⁰	31	32	33	34	³⁵	36	37
	1	3	6	¹⁰		16	23	31	⁴⁰		51	63	76	⁹⁰		106	123	141	¹⁶⁰		181	203	226	²⁵⁰		276	303	331	³⁶⁰		391	423	456	⁴⁹⁰		526	563
	1	4	¹⁰			26	49	⁸⁰			131	194	²⁷⁰			376	499	⁶⁴⁰			821	1024	¹²⁵⁰			1526	1829	²¹⁶⁰			2551	2974	³⁴³⁰			3956	4519
	1	⁵				31	⁸⁰				211	⁴⁰⁵				781	¹²⁸⁰				2101	³¹²⁵				4651	⁶⁴⁸⁰				9031	¹²⁰⁰⁵				15961	²⁰⁴⁸⁰
5th power	1					32					243					1024					3125					7776					16807					32768

	1	2	3	4	5	⁶	7	8	9	10	11	¹²	13	14	15	16	17	¹⁸	19	20	21	22	23	²⁴	25	26	27	28	29	³⁰	31	32	33	34	35	³⁶	37
	1	3	6	10	¹⁵		22	30	39	49	⁶⁰		73	87	102	118	¹³⁵		154	174	195	217	²⁴⁰		265	291	318	346	³⁷⁵		406	438	471	505	⁵⁴⁰		577
	1	4	10	²⁰			42	72	111	¹⁶⁰			233	320	422	⁵⁴⁰			694	868	1063	¹²⁸⁰			1545	1836	2154	²⁵⁰⁰			2906	3344	3815	⁴³²⁰			4897
	1	5	¹⁵				57	129	²⁴⁰				473	793	¹²¹⁵				1909	2777	³⁸⁴⁰				5385	7221	⁹³⁷⁵				12281	15625	¹⁹⁴⁴⁰				24337
	1	⁶					63	¹⁹²					665	¹⁴⁵⁸					3367	⁶¹⁴⁴					11529	¹⁸⁷⁵⁰					31031	⁴⁶⁶⁵⁶					70993
6th power	1						64						729						4096						15625						46656						117649

	1	2	3	4	5	6	⁷	8	9	10	11	12	13	¹⁴	15	16	17	18	19	20	²¹	22	23	24	25	26	27	²⁸	29	30	31	32	33	34	³⁵	36	37
	1	3	6	10	15	²¹		29	38	48	59	71	⁸⁴		99	115	132	150	169	¹⁸⁹		211	234	258	283	309	³³⁶		365	395	426	458	491	⁵²⁵		561	598
	1	4	10	20	³⁵			64	102	150	209	²⁸⁰			379	494	626	776	⁹⁴⁵			1156	1390	1648	1931	²²⁴⁰			2605	3000	3426	3884	⁴³⁷⁵			4936	5534
	1	5	15	³⁵				99	201	351	⁵⁶⁰				939	1433	2059	²⁸³⁵				3991	5381	7029	⁸⁹⁶⁰				11565	14565	17991	²¹⁸⁷⁵				26811	32345
	1	6	²¹					120	321	⁶⁷²					1611	3044	⁵¹⁰³					9094	14475	²¹⁵⁰⁴					33069	47634	⁶⁵⁶²⁵					92436	124781
	1	⁷						127	⁴⁴⁸						2059	⁵¹⁰³						14197	²⁸⁶⁷²						61741	¹⁰⁹³⁷⁵						201811	³²⁶⁵⁹²
7th power	1							128							2187							16384							78125							279936