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The maximum number of pieces from consecutive cuts are the numbers in the Lazy Caterer's Sequence. When a circle is cut n times to produce the maximum number of pieces, represented as p = f (n), the n th cut must be considered; the number of pieces before the last cut is f (n − 1), while the number of pieces added by the last cut is n.
Name First elements Short description OEIS Kolakoski sequence: 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, ... The n th term describes the length of the n th run : A000002: Euler's ...
In the case of the lazy caterer's sequence, the maximum number of pieces you can cut a pancake into with n cuts, the OEIS gives the sequence as 1, 2, 4, 7, 11, 16, 22, 29, 37, ... A000124, with offset 0, while Mathworld gives the sequence as 2, 4, 7, 11, 16, 22, 29, 37, ... (implied offset 1).
Mudgee (/ m ʌ dʒ i /) is a town in the Central West of New South Wales, Australia.It is in the broad fertile Cudgegong River valley 261 km (162 mi) north-west of Sydney and is the largest town in the Mid-Western Regional Council local government area as well as being the council seat.
New South Wales. Road routes in New South Wales assist drivers navigating roads in urban, rural, and scenic areas of the state. Today all numbered routes in the state are allocated a letter (M, A, B or D) in addition to a one- or -two digit number, with 'M' routes denoting motorways, 'A' routes denoting routes of national significance, 'B' routes denoting routes of state significance, and 'D ...
1 is read off as "one 1" or 11. 11 is read off as "two 1s" or 21. 21 is read off as "one 2, one 1" or 1211. 1211 is read off as "one 1, one 2, two 1s" or 111221. 111221 is read off as "three 1s, two 2s, one 1" or 312211. The look-and-say sequence was analyzed by John Conway [1] after he was introduced to it by one of his students at a party. [2 ...
Coordinates (Northeast end); (Southwest end); General information; Type: Rural road: Length: 138.3 km (86 mi) [1]: Gazetted: August 1928 [2]: Major junctions; Northeast end: Golden Highway Sandy Hollow, New South Wales: : Wollar Road: Southwest end: Castlereagh Highway Ilford, New South Wales: Location(s); Major settlements: Baerami, Bylong, Rylstone, Kandos: Bylong Valley Way is a New South ...
The line – seen on the right – runs adjacent to the Goulburn River as it passes through Widden. The Sandy Hollow Line between Sandy Hollow, Gulgong and Maryvale (between Wellington and Dubbo), was originally surveyed in 1860 as a more easily graded crossing of the Great Dividing Range than the Blue Mountains line nearer to Sydney.