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The 142857 number sequence is also found in several decimals in which the denominator has a factor of 7. In the examples below, the numerators are all 1, however there are instances where it does not have to be, such as 2 / 7 (0. 285714). For example, consider the fractions and equivalent decimal values listed below: 1 / 7 = 0 ...
Switzerland: There are two cases: An apostrophe as a thousands separator along with a dot "." as the decimal separator are used for currency values (for example: 1'234'567.89). For other values, the SI-style 1 234 567,89 is used with a comma "," as the decimal separator. The apostrophe is also the most common variety for non-currency values: 1 ...
The half sen coin (半銭) was a Japanese coin worth one two-hundredth of a Japanese yen, as 100 sen equalled 1 yen. [3] All half sen coins were minted during the Meiji period between 1873 and 1888, and are made from nearly pure copper. These coins were later replaced for a brief time by another coin with the same value in the 1910s. The half ...
Each two sen coin was struck in a copper alloy, which was authorized to weigh 220 grains (14.26 g) with a 1.25 inch diameter (31.8mm). [ 9 ] [ 10 ] The obverse features a dragon with the date of reign , while on the reverse a wreath design is used with a Chrysanthemum seal located above surrounded by the words "50 for one yen" in Kanji.
The resulting significand could be a positive binary integer of 24 bits up to 1001 1111111111 1111111111 b = 10485759 d, but values above 10 7 − 1 = 9 999 999 = 98967F 16 = 1001 1000100101 1001111111 2 are 'illegal' and have to be treated as zeroes. To obtain the individual decimal digits the significand has to be divided by 10 repeatedly.
The first few terms are 1, 2, 4, 9, 20, 44, 97, 214, 472, 1041, 2296, 5064,... (sequence A008998 in the OEIS). The limit ratio between consecutive terms is the supersilver ratio. The first 8 indices n for which is prime are n = 1, 6, 21, 114, 117, 849, 2418, 6144. The last number has 2111 decimal digits.
The GRIM test is straightforward to perform. For each reported mean in a paper, the sample size (N) is found, and all fractions with denominator N are calculated. The mean is then checked against this list (being aware of the fact that values may be rounded inconsistently: depending on the context, a mean of 1.125 may be reported as 1.12 or 1.13).