B24 S13 Von Neumann Neighborhood

[Lewis]

I have found an interesting new rule : B24 S13 in the Von Neumann
Neighborhood (13/24/2457 in winlife32).
Due to the rule type, no pattern can escape it's bounding box, but
despite this there is still a large number of interesting patterns.
Oscillators of periods 1,2,3,4,5,6,7,8,18,20,24 and 28 all occur
naturally (although some are rarer than others). Sadly, no gliders,
puffers or replicators can exist in this rule.
I have collected some object statistics for this rule using winlife32
(I can't get any search software to take a rule like this).
The table is best viewed in a fixed-width font:
P RLE Frequency
o$o! 699456
2 o$2o! 273107
2 bo$o! 196404
4 obo$3o$obo! 14084
4 o$3o$2bo! 7994
2 obo$3bo$obo! 4779
2 3o$2obo$ob2o$b3o! 4112
2 4o$bo$4o$o! 4075
2 ob2o$obo$obo$ob2o! 2688
6 bo$obo$bobo$2bo! 2564
2 3o$2o$obo$3bo! 2287
2 4o$3o$4o$obo! 2143
2bo$obo$2o$ob2o! 2073
2 4o$4o$4o$4o! 1764
6 bobo$4o$b2o$2o! 1760
2 4o$2b2o$4o$bo! 1642
2 2o$ob2o$3bo$3o! 1623
2 3o$2o$ob2o$2bo! 1555
2 2o$o$2bo$3bo! 1434
2 2ob2o$o3bo$b3o! 1429
obo$3o$3o$obo! 1386
6 4o$2o$4o! 1250
4 b3o$4o$bobo$ob2o$o! 1084
b3o$2bo$2ob2o! 1057
4 2b2o$bobo$obo$2o! 1023
4 b3o$obobo! 796
2 bo$o$2bo$3bo! 760
24 o2bo$4o$obo$4o$2obo! 513
4 2o$ob2o2$2o! 462
2 bobo$bo$b3o$o! 385
6 bobo$b3o$2ob2o$5o! 360
2 2bo$2b2o$o$2o! 262
18 2obo$2obo$2obo$b3o$2bo! 139
6 bo$ob2o$b2o$ob2o$bo! 82
4 3bo$4o$b3o$b4o$bo! 72
4 3b2o$4o$bobo$b4o$2o! 38
6 bobo$obo$bo$obo$bobo! 31
2 b3o$2bo$2ob2o$4bo! 25
8 bo$2ob2o$o3bo$2ob2o$3bo! 21
4 2b3o$b4o$2bobo$bob2o$2o! 21
4 3bo$2bobo$bobo$obo$bo! 17
2 bo$b3o$2b2o$2ob2o! 16
2 2bo$3o$2o$obo$3bo! 14
4 bo2bo$obo$bobo$2bobo$o2b2o! 14
2 2bo$ob2o$2o$3o$2bo! 11
4 3b2o$2bobo$bobo$obo$2o! 9
5 o3bo$2ob2o$2bo$2ob2o$o3bo! 8
6 2ob2o2$5o$5o! 8
2 b3o$2bo$2obo$o2b2o! 7
8 o2bo$b4o2$bob2o! 7
8 3bo$3bo$b2obo$2o$3o! 7
7 bobo$bobo$o3bo$bobo$bobo! 6
6 o$bo$3bo$2bobo$3bobo$4bo! 6
6 o3bo$5o$b5o$bo3bo! 5
4 ob2o$2ob2o$2b2o$b4o$obo! 5
6 o4bo$o2b2o$b2o2bo$o4bo! 5
4 2o2bo$4o$3bo$o2b2o$bob2o! 4
20 o2bo$5o$2o$2obo$b3o! 4
4 b3o$2bo$2ob2o$4bo$4b2o! 4
6 b2o$bo$2o$bo$b2o$bo$2o! 4
6 4o$bobo$b2o$bobo$4o! 3
6 2obo$obo$b2o$obo$2obo! 3
2 3bo$4o$2bo$4o$3bo! 3
6 bobo$ob2o$o$ob2o$bobo! 3
2 o$2ob2o$2b2o$b3o$bo! 3
6 b3o$5o2$2ob2o! 3
8 2ob2o$b3o2bo$b3o2bo! 2
4 b3o$o3bo$o3bo$o3bo$b3o! 2
4 3obo$b4o$3bo$o2b2o$b3o! 2
4 bob2o$ob2o$bo$2o2bo$o2bo! 2
4 3obo$2ob2o$2bobo$4o$bo2bo! 2
4 3bobo$3b3o$bobobo$3o$2obo$4o! 1
8 4bo$o3b2o$o2b2o$bo$b2o! 1
2 2obo$2bobo$bobo$2bobo$4bo! 1
6 2bobo$3bobo$2bobo$ob2obo$2o$3o! 1
6 o$o$3o$3obo$bo2bo! 1
4 b2obo$2o2bo$2b2o$3o$b4o! 1
6 o3bo$obobo$b3o$bobo! 1
ob2obo$2o2b2o$ob2obo! 1
3 obo$o2b2o$2b2o2bo$4bobo! 1
4 4o$2o2bo$ob3o$2o2bo$b2obo! 1
4 2o$b2o$2o$obo$2bo$2o$2bo! 1
6 b2o$bobo$2b2o$2o$obo$b2o! 1
2 3o$2o$ob2o$2bobo$4bo$2bobo$2b2o! 1
4 2b3o$3o$5o$2o2bo$3o! 1
2 2ob2o$2bobo$b3o$2bobo$4bo! 1
6 b3o$o2b2o$3o3bo$6bo! 1

I don't think this rule has been looked into much before, it isn't on
MCell and there are no pattern files for it on the internet (as far as
I know).