This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A335405 #10 Nov 07 2020 01:04:23
%S A335405 0,1,1,1,2,1,7,1,23,11,21,1,241,1,43,73,1092,1,1041,1,1339,157,111,1,
%T A335405 23023,137,157,1603,3945,1,11599,1,153446,421,273,601,204586,1,343,
%U A335405 601,206351,1,34789,1,16273,25179,507,1,5992730,667,33913,1057,27291,1
%N A335405 Number of integer compositions of n with product n.
%C A335405 A composition of n is a finite sequence of positive integers summing to n.
%H A335405 Seiichi Manyama, <a href="/A335405/b335405.txt">Table of n, a(n) for n = 0..10000</a>
%e A335405 The compositions for n = 1, 4, 6, 8, 9, 10:
%e A335405 (1) (4) (6) (8) (9) (10)
%e A335405 (22) (123) (1124) (11133) (11125)
%e A335405 (132) (1142) (11313) (11152)
%e A335405 (213) (1214) (11331) (11215)
%e A335405 (231) (1241) (13113) (11251)
%e A335405 (312) (1412) (13131) (11512)
%e A335405 (321) (1421) (13311) (11521)
%e A335405 (2114) (31113) (12115)
%e A335405 (2141) (31131) (12151)
%e A335405 (2411) (31311) (12511)
%e A335405 (4112) (33111) (15112)
%e A335405 (4121) (15121)
%e A335405 (4211) (15211)
%e A335405 (11222) (21115)
%e A335405 (12122) (21151)
%e A335405 (12212) (21511)
%e A335405 (12221) (25111)
%e A335405 (21122) (51112)
%e A335405 (21212) (51121)
%e A335405 (21221) (51211)
%e A335405 (22112) (52111)
%e A335405 (22121)
%e A335405 (22211)
%t A335405 Table[Length[Join@@Permutations/@Select[IntegerPartitions[n],Times@@#==n&]],{n,0,30}]
%Y A335405 The case of partitions is A001055.
%Y A335405 Compositions are counted by A011782.
%Y A335405 These compositions are ranked by A335404.
%Y A335405 Cf. A003963, A096111, A124767, A233249, A272919, A301987, A301988, A333219, A333220, A331579.
%K A335405 nonn
%O A335405 0,5
%A A335405 _Gus Wiseman_, Jun 06 2020