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Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
Infobox references. 1,1,1,2,2,3,3-Heptachloropropane is a compound of chlorine, hydrogen, and carbon. [1] Its linear formula is C 2 Cl 5 CHCl 2. [2] Heptachloropropane is made in a modified Friedel-Crafts or Prins reaction from chloroform and tetrachloroethylene with catalytic aluminum chloride. Dehydrochlorination with a base gives ...
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
The Hofstadter Figure-Figure (R and S) sequences are a pair of complementary integer sequences defined as follows [ 1][ 2] with the sequence defined as a strictly increasing series of positive integers not present in . The first few terms of these sequences are. R: 1, 3, 7, 12, 18, 26, 35, 45, 56, 69, 83, 98, 114, 131, 150, 170, 191, 213, 236 ...
This is a list of emoticons or textual portrayals of a writer's moods or facial expressions in the form of icons. Originally, these icons consisted of ASCII art, and later, Shift JIS art and Unicode art. In recent times, graphical icons, both static and animated, have joined the traditional text-based emoticons; these are commonly known as ...
Zone 8 uses four 2-digit codes (81, 82, 84, 86) and four sets of 3-digit codes (80x, 85x, 87x, 88x) to serve East Asia, South Asia and special services. 83x and 89x are unallocated. Zone 9 uses seven 2-digit codes (90–95, 98) and three sets of 3-digit codes (96x, 97x, 99x) to serve the Middle East , West Asia , Central Asia , parts of South ...
7 p − 1 ≡ 1 (mod p 2): 5, 491531 (OEIS: A123693) 8 p − 1 ≡ 1 (mod p 2): 3, 1093, 3511 9 p − 1 ≡ 1 (mod p 2): 2, 11, 1006003 10 p − 1 ≡ 1 (mod p 2): 3, 487, 56598313 (OEIS: A045616) 11 p − 1 ≡ 1 (mod p 2): 71 [20] 12 p − 1 ≡ 1 (mod p 2): 2693, 123653 (OEIS: A111027) 13 p − 1 ≡ 1 (mod p 2): 2, 863, 1747591 (OEIS ...