Partitions as integers
(A194602)
thin fat 		Partitions with addends ≥
2 3 4 5 6 7 8 		Numbers of partitions of n with addends ≥ k
(A026807)
full half
Row n of this triangle contains the A026807(n, 8) partitions with addends ≥ 8.

Partitions that have 8 as the smallest addend are marked in gray.
For n ≥ 16 their number is A026807(n−8, 8).
Visually this means that there are 8 other partitions over every topmost gray one - apart from first partition in the table.

Two partitions in the same column that are 8 rows apart differ by exactly one addend 8.
8 0
(8, 1) 21
8: 1
9 1
(9, 1) 29
9: 1
10 2
(10, 1) 41
10: 1
11 3
(11, 1) 55
11: 1
12 4
(12, 1) 76
12: 1
13 5
(13, 1) 100
13: 1
14 6
(14, 1) 134
14: 1
15 7
(15, 1) 175
15: 1
16 0
(16, 1) 229
8: 2
(16, 2) 230
16: 1
17 1
(17, 1) 295
9: 1,
8: 1
(17, 2) 296
17: 1
18 2
(18, 1) 382
10: 1,
8: 1
(18, 2) 383
9: 2
(18, 3) 384
18: 1
19 3
(19, 1) 487
11: 1,
8: 1
(19, 2) 488
10: 1,
9: 1
(19, 3) 489
19: 1
20 4
(20, 1) 623
12: 1,
8: 1
(20, 2) 624
11: 1,
9: 1
(20, 3) 625
10: 2
(20, 4) 626
20: 1
21 5
(21, 1) 788
13: 1,
8: 1
(21, 2) 789
12: 1,
9: 1
(21, 3) 790
11: 1,
10: 1
(21, 4) 791
21: 1
22 6
(22, 1) 997
14: 1,
8: 1
(22, 2) 998
13: 1,
9: 1
(22, 3) 999
12: 1,
10: 1
(22, 4) 1000
11: 2
(22, 5) 1001
22: 1
23 7
(23, 1) 1250
15: 1,
8: 1
(23, 2) 1251
14: 1,
9: 1
(23, 3) 1252
13: 1,
10: 1
(23, 4) 1253
12: 1,
11: 1
(23, 5) 1254
23: 1
24 0
(24, 1) 1568
8: 3
(24, 2) 1569
16: 1,
8: 1
(24, 3) 1570
15: 1,
9: 1
(24, 4) 1571
14: 1,
10: 1
(24, 5) 1572
13: 1,
11: 1
(24, 6) 1573
12: 2
(24, 7) 1574
24: 1
25 1
(25, 1) 1951
9: 1,
8: 2
(25, 2) 1952
17: 1,
8: 1
(25, 3) 1953
16: 1,
9: 1
(25, 4) 1954
15: 1,
10: 1
(25, 5) 1955
14: 1,
11: 1
(25, 6) 1956
13: 1,
12: 1
(25, 7) 1957
25: 1
26 2
(26, 1) 2427
10: 1,
8: 2
(26, 2) 2428
9: 2,
8: 1
(26, 3) 2429
18: 1,
8: 1
(26, 4) 2430
17: 1,
9: 1
(26, 5) 2431
16: 1,
10: 1
(26, 6) 2432
15: 1,
11: 1
(26, 7) 2433
14: 1,
12: 1
(26, 8) 2434
13: 2
(26, 9) 2435
26: 1
27 3
(27, 1) 3000
11: 1,
8: 2
(27, 2) 3001
10: 1,
9: 1,
8: 1
(27, 3) 3002
19: 1,
8: 1
(27, 4) 3003
9: 3
(27, 5) 3004
18: 1,
9: 1
(27, 6) 3005
17: 1,
10: 1
(27, 7) 3006
16: 1,
11: 1
(27, 8) 3007
15: 1,
12: 1
(27, 9) 3008
14: 1,
13: 1
(27, 10) 3009
27: 1
28 4
(28, 1) 3706
12: 1,
8: 2
(28, 2) 3707
11: 1,
9: 1,
8: 1
(28, 3) 3708
10: 2,
8: 1
(28, 4) 3709
20: 1,
8: 1
(28, 5) 3710
10: 1,
9: 2
(28, 6) 3711
19: 1,
9: 1
(28, 7) 3712
18: 1,
10: 1
(28, 8) 3713
17: 1,
11: 1
(28, 9) 3714
16: 1,
12: 1
(28, 10) 3715
15: 1,
13: 1
(28, 11) 3716
14: 2
(28, 12) 3717
28: 1
29 5
(29, 1) 4552
13: 1,
8: 2
(29, 2) 4553
12: 1,
9: 1,
8: 1
(29, 3) 4554
11: 1,
10: 1,
8: 1
(29, 4) 4555
21: 1,
8: 1
(29, 5) 4556
11: 1,
9: 2
(29, 6) 4557
10: 2,
9: 1
(29, 7) 4558
20: 1,
9: 1
(29, 8) 4559
19: 1,
10: 1
(29, 9) 4560
18: 1,
11: 1
(29, 10) 4561
17: 1,
12: 1
(29, 11) 4562
16: 1,
13: 1
(29, 12) 4563
15: 1,
14: 1
(29, 13) 4564
29: 1
30 6
(30, 1) 5588
14: 1,
8: 2
(30, 2) 5589
13: 1,
9: 1,
8: 1
(30, 3) 5590
12: 1,
10: 1,
8: 1
(30, 4) 5591
11: 2,
8: 1
(30, 5) 5592
22: 1,
8: 1
(30, 6) 5593
12: 1,
9: 2
(30, 7) 5594
11: 1,
10: 1,
9: 1
(30, 8) 5595
21: 1,
9: 1
(30, 9) 5596
10: 3
(30, 10) 5597
20: 1,
10: 1
(30, 11) 5598
19: 1,
11: 1
(30, 12) 5599
18: 1,
12: 1
(30, 13) 5600
17: 1,
13: 1
(30, 14) 5601
16: 1,
14: 1
(30, 15) 5602
15: 2
(30, 16) 5603
30: 1