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They are generalizations of the concepts of betrothed numbers and quasiperfect numbers. The first quasi-sociable sequences, or quasi-sociable chains, were discovered by Mitchell Dickerman in 1997: 1215571544 = 2^3*11*13813313; 1270824975 = 3^2*5^2*7*19*42467; 1467511664 = 2^4*19*599*8059; 1530808335 = 3^3*5*7*1619903; 1579407344 = 2^4*31^2*59*1741
This led to a quarter of valid votes being wasted, on average and led to the 20 percent of the seats never being allocated due to the 3-seat cap [clarification needed] In 2007, the 2 percent threshold was altered to allow parties with less than 1 percent of first preferences to receive a seat each and the proportion of wasted votes reduced ...
This is because each seat has a row number followed by letter; letters that may be confused with numbers (I, O, Q, S, or Z) must be avoided, usually for people with dyslexia. The Digital Equipment Corporation (DEC) was the first to implement this, avoiding I (1), O (0) and S (5). The remaining letters are called the DEC alphabet. [citation needed]
The period of the sequence, or order of the set of sociable numbers, is the number of numbers in this cycle. If the period of the sequence is 1, the number is a sociable number of order 1, or a perfect number—for example, the proper divisors of 6 are 1, 2, and 3, whose sum is again 6.
Sociable numbers are the numbers in cyclic lists of numbers (with a length greater than 2) where each number is the sum of the proper divisors of the preceding number. For example, 1264460 ↦ 1547860 ↦ 1727636 ↦ 1305184 ↦ 1264460 ↦ … {\displaystyle 1264460\mapsto 1547860\mapsto 1727636\mapsto 1305184\mapsto 1264460\mapsto \dots } are ...
The A380-800 layout with 519 seats displayed (16 First, 92 Business and 411 Economy) The Airbus A380 features two full-length decks, each measuring 49.9 metres (164 ft). The upper deck has a slightly shorter usable length of 44.93 metres (147.4 ft) due to the front fuselage curvature and the staircase.
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Therefore, the number of oriented Hamiltonian cycles in a crown graph is smaller by a factor of 2n than the number of seating arrangements, [5] but larger by a factor of (n − 1)! than the ménage numbers. The sequence of numbers of cycles in these graphs (as before, starting at n = 3) is 2, 12, 312, 9600, 416880, 23879520, 1749363840, ...