Talk:Index to OEIS: Section Be

Empirical Benford

Empirical analysis of select sequences:

Recall the ideal percent fractions are (digits 1 thru 9 in order): 0.301, 0.176, 0.125, 0.097, 0.079, 0.067, 0.058, 0.051, 0.046

A002182 (10K pts) [ 1, 0.3017; 2, 0.1750; 3, 0.1289; 4, 0.09960; 5, 0.07820; 6, 0.06590; 7, 0.05710; 8, 0.05070; 9, 0.04280 ]
A276086 (5041 pts) [ 1, 0.3027; 2, 0.1763; 3, 0.1259; 4, 0.09599; 5, 0.07953; 6, 0.06505; 7, 0.05930; 8, 0.04899; 9, 0.04601 ]
A087455 (100K pts) [ 1, 0.3015; 2, 0.1759; 3, 0.1264; 4, 0.09604; 5, 0.07966; 6, 0.06694; 7, 0.05722; 8, 0.05126; 9, 0.04510 ]
A023361 (5257 pts) [ 1, 0.3016; 2, 0.1755; 3, 0.1253; 4, 0.09700; 5, 0.07912; 6, 0.06676; 7, 0.05782; 8, 0.05116; 9, 0.04545 ]
A000594 (16K pts) [ 1, 0.2995; 2, 0.1793; 3, 0.1258; 4, 0.09912; 5, 0.07731; 6, 0.06674; 7, 0.05667; 8, 0.04928; 9, 0.04623 ]
A007318 (10K pts) [ 1, 0.3164; 2, 0.1700; 3, 0.1217; 4, 0.09326; 5, 0.07800; 6, 0.06401; 7, 0.06047; 8, 0.05052; 9, 0.04550 ] (stated)
A000055 (1000 pts) [ 1, 0.3064; 2, 0.1766; 3, 0.1238; 4, 0.09381; 5, 0.07685; 6, 0.06986; 7, 0.05689; 8, 0.05289; 9, 0.04192 ] (needs more data)
A006318 (2000 pts) [ 1, 0.3012; 2, 0.1783; 3, 0.1224; 4, 0.09291; 5, 0.08392; 6, 0.06394; 7, 0.06144; 8, 0.05095; 9, 0.04446 ] (needs more data)
A000048 (20K pts) [ 1, 0.3011; 2, 0.1763; 3, 0.1246; 4, 0.09690; 5, 0.07960; 6, 0.06695; 7, 0.05740; 8, 0.05135; 9, 0.04565 ]
A129912 (5189086 pts) [ 1, 0.3020; 2, 0.1750; 3, 0.1245; 4, 0.09678; 5, 0.07917; 6, 0.06710; 7, 0.05815; 8, 0.05133; 9, 0.04597 ]
--Bill McEachen (talk) 22:10, 25 September 2023 (EDT)