A038722 - OEIS

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A038722 as a triangular array

											1
										3		2
									6		5		4
								10		9		8		7
							15		14		13		12		11
						21		20		19		18		17		16
					28		27		26		25		24		23		22
				36		35		34		33		32		31		30		29
			45		44		43		42		41		40		39		38		37
		55		54		53		52		51		50		49		48		47		46
	66		65		64		63		62		61		60		59		58		57		56
78		77		76

A038722 as a square array

1	3	6	10	15	21	28	36	45	55	66	78
2	5	9	14	20	27	35	44	54	65	77
4	8	13	19	26	34	43	53	64	76
7	12	18	25	33	42	52	63
11	17	24	32	41	51	62
16	23	31	40	50	61
22	30	39	49	60
29	38	48	59
37	47	58
46	57
56

A038722 as an upper right triangle

1	3	6	10	15	21	28	36	45	55	66	78
	2	5	9	14	20	27	35	44	54	65	77
		4	8	13	19	26	34	43	53	64	76
			7	12	18	25	33	42	52	63
				11	17	24	32	41	51	62
					16	23	31	40	50	61
						22	30	39	49	60
							29	38	48	59
								37	47	58
									46	57
										56

											1
										3		2
									6		5		4
								10		9		8		7
							15		14		13		12		11
						21		20		19		18		17		16
					28		27		26		25		24		23		22
				36		35		34		33		32		31		30		29
			45		44		43		42		41		40		39		38		37
		55		54		53		52		51		50		49		48		47		46
	66		65		64		63		62		61		60		59		58		57		56
78		77		76

1	3	6	10	15	21	28	36	45	55	66	78
2	5	9	14	20	27	35	44	54	65	77
4	8	13	19	26	34	43	53	64	76
7	12	18	25	33	42	52	63
11	17	24	32	41	51	62
16	23	31	40	50	61
22	30	39	49	60
29	38	48	59
37	47	58
46	57
56

1	3	6	10	15	21	28	36	45	55	66	78
	2	5	9	14	20	27	35	44	54	65	77
		4	8	13	19	26	34	43	53	64	76
			7	12	18	25	33	42	52	63
				11	17	24	32	41	51	62
					16	23	31	40	50	61
						22	30	39	49	60
							29	38	48	59
								37	47	58
									46	57
										56

											1
										3		2
									6		5		4
								10		9		8		7
							15		14		13		12		11
						21		20		19		18		17		16
					28		27		26		25		24		23		22
				36		35		34		33		32		31		30		29
			45		44		43		42		41		40		39		38		37
		55		54		53		52		51		50		49		48		47		46
	66		65		64		63		62		61		60		59		58		57		56
78		77		76

1	3	6	10	15	21	28	36	45	55	66	78
2	5	9	14	20	27	35	44	54	65	77
4	8	13	19	26	34	43	53	64	76
7	12	18	25	33	42	52	63
11	17	24	32	41	51	62
16	23	31	40	50	61
22	30	39	49	60
29	38	48	59
37	47	58
46	57
56

1	3	6	10	15	21	28	36	45	55	66	78
	2	5	9	14	20	27	35	44	54	65	77
		4	8	13	19	26	34	43	53	64	76
			7	12	18	25	33	42	52	63
				11	17	24	32	41	51	62
					16	23	31	40	50	61
						22	30	39	49	60
							29	38	48	59
								37	47	58
									46	57
										56

											1
										3		2
									6		5		4
								10		9		8		7
							15		14		13		12		11
						21		20		19		18		17		16
					28		27		26		25		24		23		22
				36		35		34		33		32		31		30		29
			45		44		43		42		41		40		39		38		37
		55		54		53		52		51		50		49		48		47		46
	66		65		64		63		62		61		60		59		58		57		56
78		77		76

1	3	6	10	15	21	28	36	45	55	66	78
2	5	9	14	20	27	35	44	54	65	77
4	8	13	19	26	34	43	53	64	76
7	12	18	25	33	42	52	63
11	17	24	32	41	51	62
16	23	31	40	50	61
22	30	39	49	60
29	38	48	59
37	47	58
46	57
56

1	3	6	10	15	21	28	36	45	55	66	78
	2	5	9	14	20	27	35	44	54	65	77
		4	8	13	19	26	34	43	53	64	76
			7	12	18	25	33	42	52	63
				11	17	24	32	41	51	62
					16	23	31	40	50	61
						22	30	39	49	60
							29	38	48	59
								37	47	58
									46	57
										56