# Baseball Season Has Begun

You know you are spoiled when the place to put your beer is the top of the dugout:

So close, the kid next to me waved at Ichiro as he returned to dugout and Ichiro waved back. Oh, and the guy with the two foot tall Ichiro bobble head doll was kind of scary.

1. #1 Kevin W. Parker
April 18, 2008

Hey, I put my stuff on top of the dugout all the time! Of course, most of the time when I go to baseball games it’s the local AA team….

2. #2 Darren Stevens
April 18, 2008

“You know you are spoiled when the place to put your beer is the top of the dugout…”

…then you realize it’s not that great, because, great seats or not, you’re still watching the Mariners…

3. #3 Jonathan Vos Post
April 18, 2008

Interesting that there are (including the no-pitch at bat) exactly 64 values in the below. 6 bits. So what has Baseball been computing all these years?

A136407 Valid strings, in lexicographic order, of Balls (“1”) and Strikes (“2″) in a Baseball at bat. Numbers that contain only 1’s and 2’s never exceeding 3 total 2’s or 4 total 1’s, whichever comes first.”

1 1
2 2
3 11
4 12
5 21
6 22
7 111
8 112
9 121
10 122
11 211
12 212
13 221
14 222
15 1111
16 1112
17 1121
18 1122
19 1211
20 1212
21 1221
22 1222
23 2111
24 2112
25 2121
26 2122
27 2211
28 2212
29 11121
30 11122
31 11211
32 11212
33 11221
34 11222
35 12111
36 12112
37 12121
38 12122
39 12211
40 12212
41 21111
42 21112
43 21121
44 21122
45 21211
46 21212
47 21221
48 22111
49 22112
50 111221
51 111222
52 112121
53 112122
54 112211
55 112212
56 121121
57 121122
58 121211
59 121212
60 122111
61 122112
62 221111
63 221112

COMMENT

The string can be too short to have either 3 total 2’s or 4 total 1’s, because the batter can be out in various ways, or on base in various ways (hit by pitched ball, balk) before the at bat ends with strikout or walk. A proper subset of A007931.

Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 31 2008, Table of n, a(n) for n = 1..63
EXAMPLE

a(14) = 222 represents a strikeout in 3 consecutive pitches. a(15) = 1111 represents a walk in 4 consecutive pitches.

2221 is the lexicographically first element of A007931 not in this sequence, since after 3 strikes the batter is out, and there is no 4th pitch in the at bat.

11111 is the lexicographically first element of A007931 without a 2 not in this sequence, since after 4 balls the batter walks, and there is no 5th pitch in the at bat. Technically, this sequence contains the null string (the batter is out without a pitch being thrown, in several ways) but that is not properly represented as a string of 1s and 2s in OEIS.

CROSSREFS
Cf. A115380, A121379, A121403.

KEYWORD
base,easy,fini,nonn,new

AUTHOR
Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 31 2008

4. #4 Dave Bacon
April 18, 2008

There is also another team of the field ðŸ™‚ I smell jealousy ðŸ™‚

5. #5 Carl Brannen
April 21, 2008

Mariners are going to do okay this year. Can’t have all the teams win the world series every year (or decade).

My favorite seats are higher where you get a view of the action from above. At the same height as the media, on the 1st base side.

And if I’m going to go, I want to arrive early enough that I can watch the atheletes stretch and warm up, and stay long enough to watch the closing of the roof.