178 
•00400 
•00300 
•00200 
•00100 
■ooooo 
OOlOO 
■00200 
■-jO 
On Expansions In Tetrachoric Functiom 
TABLE II. 
42 rf^g-X 
3 IW) 
dx, Z 
~ . , . 
i- Gtrjicnoric 
ierms in tnG 
Value 01 Series 
s 
± LillL/UiUlio Tg 
up to term Xg 
0 
+ ioobooo 
+ 1586553 
'1586553 
1 
+ 2!419/U/4 
00000(10 
2 
— 171U9910 
0000000 
3 
UUIJUUUUU 
• A AAA AAA 
0000000 
4 
+ U9o/o4i / 
■ AAi) i i?A 1 
— UUz4b!Ji 
15bl8bz 
e 
0 
+ UOOzozz 
15b4b84 
£j 
D 
— Oo41UboZ 
+ 001 /4d8 
• 1 r om Til 
1582152 
7 
+ U040o4U4 
• AAAA^O R 
-1572417 
o 
O 
1 -/AO 1 1 AAQT 
.AAAOAO,"^ 
15/0392 
9 
• ACiOAi) I AA 
1 •AAA^TA'" 
+ 000779/ 
1578189 
10 
— UU<i00bb4 
+ 000045b 
1578b45 
1 1 
+ U4b£) / 1 oo 
— 00<j417z 
1 o 
•Al A'}-1 QQ'> 
1 .A/lAI A^A 
15/5553 
1 o 
— UoOl404o 
t .AAA /I 1 1 T 
+ UUU4 11/ 
J5/9b69 
14 
1 .AT rtOAA^? 1 
+ uiyo9yb4 
. 1 AA1 0/?0 
— lUUlobo 
-1577802 
15 
1 .AOnO 1 A^T 
. A A A O A f7 
— 000z9b7 
1574834 
lb 
• AO 1 Q O 11 1 
— Uz4oo41 1 
1 .AAAO^OA 
+ OOOz / 39 
■1577573 
17 
- UzU044zy 
1 .AAADO 1 O 
+ 000z318 
15/9891 
18 
+ OzToo /Oo 
— 0003334 
157b55b 
19 
+ •01256341 
- -0001691 
-1574865 
20 
- -02825493 
+ -0004191 
-1579057 
21 
- -00548187 
+ -0000910 
-1579967 
22 
+ -02745951 
- -0005223 
-1574744 
23 
- -00060803 
4- -0000134 
-1574878 
24 
- -02558848 
+ -0006555 
•1581433 
25 
+ -00568862 
- -0001726 
•1579707 
26 
+ -02297227 
- -0008343 
•1571364 
27 
- -00978859 
+ -0004299 
•1575663 
28 
- -01987296 
+ -0010674 
•1586337 
29 
+ -01296514 
- -0008607 
•1577730 
30 
+ -01649808 
- -0013669 
•1564061 
True value -1577387. 
■-0-' 
I I I I m 
I I I I I I I I I I I 
I I I I 
NUMBER OF TERMS 
Fig. 3. 
^ _.r-ff_ 42-49 
1. 
