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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 ...
The decimal expansion of the golden ratio [1] has been calculated to an accuracy of ten trillion (=) digits. [ 66 ] In the complex plane , the fifth roots of unity z = e 2 π k i / 5 {\displaystyle z=e^{2\pi ki/5}} (for an integer k {\textstyle k} ) satisfying z 5 = 1 {\displaystyle z^{5}=1} are the vertices of a pentagon.
Except where otherwise noted, data are given for materials in their standard state (at 25 °C [77 °F], 100 kPa). 1,1,2,2-Tetrafluoroethane (also called R-134 or HFC-134) is a hydrofluorocarbon, a fluorinated alkane. It is an isomer of the more-used 1,1,1,2-tetrafluoroethane (R-134a). It is used as a foam expansion agent and heat transfer fluid.
Primes in the Perrin number sequence P(0) = 3, P(1) = 0, P(2) ... The classes 10n+d (d = 1, 3, 7, 9) are primes ending in the decimal digit d. 2n+1: 3, 5, 7, 11, 13, ...
The sample mean of | W 200 | is μ = 56/5, and so 2(200)μ −2 ≈ 3.19 is within 0.05 of π. Another way to calculate π using probability is to start with a random walk , generated by a sequence of (fair) coin tosses: independent random variables X k such that X k ∈ {−1,1} with equal probabilities.
1,1,2-Trichloroethane, vinyl trichloride or 1,1,2-TCA, is an organochloride solvent with the molecular formula C 2 H 3 Cl 3 and the structural formula CH 2 Cl—CHCl 2. It is a colourless, sweet-smelling liquid that does not dissolve in water, but is soluble in most organic solvents. It is an isomer of 1,1,1-trichloroethane, and a byproduct of ...
3-Amino-1,2,4-triazole ( 3-AT) is a heterocyclic organic compound that consists of 1,2,4-triazole with an amino group as a substituent . 3-AT is a competitive inhibitor of the product of the HIS3 gene, imidazoleglycerol-phosphate dehydratase. [ 3][ 4] Imidazoleglycerol-phosphate dehydratase is an enzyme catalyzing the sixth step of histidine ...