370 
MR. J. W. L. G-LAISHER’S NUMERICAL VALUES OE THE 
Table of the Constants. 
X. 
First 
twenty figures of xY(x 
+ !)• 
-log{ 
xT(x 
+ 1) 
}■ 
X. 
First 
twenty figures of ^r(^r+l). 
—log | ^ 
r O+i) ' 
2 
4 
1 
•397 
940 
008 
7 
37 
509 
258 
864 
375 
374 
766 
71 
45 
•293 
061 
402 
7 
3 
18 
2 
•744 
727 
494 
9 
38 
198 
748 
594 
637 
308 
422 
46 
47 
•701 
695 
933 
6 
4 
96 
2 
•017 
728 
767 
0 
39 
795 
517 
401 
166 
700 
290 
98 
48 
•099 
350 
316 
1 
5 
600 
3 
•221 
848 
749 
6 
40 
326 
366 
113 
299 
159 
093 
73 
50 
•486 
294 
940 
5 
6 
432 
0 
4 
•364 
516 
253 
2 
41 
137 
155 
359 
113 
971 
609 
14 
52 
•862 
787 
218 
4 
7 
352 
80 
5 
•452 
471 
423 
5 
42 
590 
102 
569 
456 
209 
557 
38 
53 
•229 
072 
494 
3 
8 
322 
560 
6 
•491 
389 
489 
6 
43 
259 
785 
631 
172 
507 
493 
24 
55 
•585 
384 
873 
6 
9 
326 
592 
0 
7 
•485 
994 
457 
7 
44 
116 
963 
949 
290 
691 
745 
79 
57 
•931 
947 
976 
2 
10 
362 
880 
00 
8 
•440 
236 
967 
i 
45 
538 
299 
993 
894 
660 
875 
52 
58 
•268 
975 
625 
i 
11 
439 
084 
800 
9 
•357 
451 
596 
8 
46 
253 
120 
619 
351 
356 
091 
69 
60 
•596 
672 
475 
5 
12 
574 
801 
920 
0 
10 
•240 
481 
789 
9 
47 
121 
552 
923 
510 
249 
044 
90 
62 
•915 
234 
591 
3 
13 
809 
512 
704 
00 
11 
•091 
776 
331 
3 
48 
595 
867 
948 
441 
731 
488 
20 
63 
•224 
849 
974 
5 
14 
122 
049 
607 
680 
0 
13 
•913 
463 
612 
3 
49 
298 
058 
113 
376 
791 
104 
82 
65 
•525 
699 
051 
8 
15 
196 
151 
155 
200 
00 
14 
•707 
409 
129 
8 
50 
152 
070 
466 
008 
566 
890 
21 
67 
•817 
955 
123 
2 
16 
334 
764 
638 
208 
000 
15 
•475 
260 
423 
6 
51 
791 
070 
564 
176 
564 
962 
91 
68 
101 
784 
775 
3 
17 
604 
668 
627 
763 
200 
0 
16 
■218 
482 
563 
5 
52 
419 
422 
510 
888 
908 
168 
57 
70 
•377 
348 
264 
2 
18 
115 
242 
726 
703 
104 
000 
18 
•938 
386 
474 
6 
53 
226 
568 
814 
055 
181 
354 
90 
72 
•644 
799 
868 
6 
19 
231 
125 
690 
776 
780 
800 
0 
19 
•636 
151 
777 
8 
54 
124 
655 
596 
563 
190 
345 
45 
74 
•904 
288 
218 
5 
20 
486 
580 
401 
635 
328 
000 
00 
20 
•312 
845 
387 
5 
55 
698 
302 
184 
451 
205 
175 
92 
75 
•155 
956 
599 
4 
21 
107 
290 
978 
560 
589 
824 
00 
22 
•969 
436 
793 
7 
56 
398 
159 
209 
170 
723 
533 
03 
77 
■399 
943 
234 
9 
22 
247 
280 
160 
111 
073 
689 
60 
23 
■606 
810 
726 
7 
57 
231 
003 
441 
1 77 
800 
135 
50 
79 
•636 
381 
550 
5 
23 
594 
596 
384 
994 
354 
462 
72 
24 
•225 
777 
735 
5 
58 
136 
332 
557 
214 
406 
957 
16 
8l 
•865 
400 
419 
1 
24 
148 
907 
616 
415 
977 
465 
44 
26 
•827 
083 
088 
1 
59 
818 
230 
309 
419 
570 
030 
85 
82 
•087 
124 
389 
4 
25 
387 
780 
251 
083 
274 
649 
60 
27 
•411 
414 
312 
5 
60 
499 
259 
226 
764 
483 
408 
65 
84 
•301 
673 
900 
2 
26 
104 
855 
779 
892 
917 
465 
25 
29 
■979 
407 
625 
2 
61 
309 
623 
930 
465 
107 
127 
26 
86 
•509 
165 
480 
6 
27 
293 
999 
475 
161 
295 
508 
34 
30 
•531 
653 
444 
9 
62 
195 
113 
834 
214 
405 
212 
65 
88 
•709 
711 
936 
6 
28 
853 
687 
364 
912 
798 
809 
40 
31 
•068 
701 
146 
4 
63 
124 
904 
323 
870 
479 
724 
03 
90 
•903 
422 
527 
2 
29 
256 
411 
097 
818 
451 
356 
68 
33 
•591 
063 
181 
9 
64 
812 
076 
365 
989 
658 
650 
26 
9l 
•090 
403 
128 
7 
30 
795 
758 
579 
436 
573 
175 
90 
34 
•099 
218 
670 
4 
65 
536 
097 
288 
485 
360 
593 
33 
93 
•270 
756 
389 
4 
31 
254 
907 
998 
279 
515 
607 
34 
36 
■593 
616 
537 
4 
66 
359 
267 
659 
791 
112 
422 
24 
95 
■444 
581 
874 
9 
32 
842 
018 
678 
187 
819 
296 
53 
37 
•074 
678 
274 
6 
67 
244 
356 
443 
151 
864 
191 
43 
97 
■611 
976 
205 
1 
33 
286 
549 
481 
420 
792 
254 
35 
39 
•542 
800 
373 
2 
68 
168 
642 
416 
885 
704 
480 
77 
99 
•773 
033 
182 
4 
34 
100 
379 
151 
673 
465 
407 
88 
41 
•998 
356 
479 
0 
69 
118 
074 
492 
175 
417 
504 
84 
lb! 
■927 
843 
913 
6 
35 
361 
660 
178 
823 
515 
072 
53 
42 
•441 
699 
307 
3 
70 
838 
500 
016 
897 
892 
425 
72 
U)2 
•076 
496 
924 
3 
36 
133 
917 
597 
644 
364 
438 
28 
44 
•873 
162 
350 
1 
71 
603 
839 
797 
883 
182 
245 
44 
104 
•219 
078 
266 
9 
The powers of all numbers from 1 to 100 were then formed up to the 20th, and in 
some extreme cases up to the 40th, the numbers under each power being entered in 
Tables*. The divisions were then made, and the values of the following four series, 
1 .2.3.4 
+ 
9 1 .2...9 
\ X 2 \ X 6 1 X 10 
2T72+ 6 l-2.3.4.5.6"i“ lb' 1 . 2 ... 10 
* The powers of numbers from 1 to 100 as far as the tenth are given in Hutton’s ‘ Powers of Numbers,’ 
published by the Commissioners of Longitude in 1781. In this Table, which was only used as a check, the 
fifth power of 81 and the seventh power of 98 were found to he inaccurate. 
