The lazy caterer’s sequence
Spletsummation - Sum of the first n terms of Central polygonal numbers (the Lazy Caterer's sequence) - Mathematics Stack Exchange Sum of the first n terms of Central polygonal numbers (the Lazy Caterer's sequence) [closed] Ask Question Asked 3 years, 7 months ago Modified 3 years, 7 months ago Viewed 236 times -4 Closed. Splet20. sep. 2016 · There's even a sequence in OEIS that describes this series. 5 cuts can only get you 26 pieces so even that won't achieve the 27 claimed. For reference, the optimal four cuts would look like this: Here's one more interesting property of the sequence: It is sum of the first four terms in the n t h row of Pascal's Triangle Share Improve this answer
The lazy caterer’s sequence
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SpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to describe the situation) that can be made with a given number of straight cuts. For example, three cuts across a pancake will produce six pieces if the cuts all meet at a common … Splet64 megabytes. input. standard input. output. standard output. Lazy caterer sequence is defined as the maximum number of pieces formed when slicing a convex pancake with n cuts (each cut is a straight line). The formula is Cn = n· (n + 1) / 2 + 1. You are given n; calculate n -th element of the sequence.
SpletThe sequence is the number of distinct sums of subsets of the nonnegative integers, and its first differences are the positive integers. See A208531 for similar results for the squares. - John W. Layman , Feb 28 2012 SpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a circle (a pancake or pizza is usually used to describe the situation) that can be made with a given number of straight cuts.
Splet03. jun. 2024 · But it’s called the Lazy Caterer’s sequence, and there’s a reason. These are numbers generated by cutting a food item—a pizza or a pancake, something round and flat— to produce as many ... SpletSequence of integers. Language Label Description Also known as; English: lazy caterer's sequence
SpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to describe the situation) that can be made with a given number of straight cuts. For example, three cuts across a pancake will produce six pieces if the cuts all meet at a ...
SpletRe: Lazy caterer's sequence. Assuming that your sequence is in columns A, B and C starting in row 1, and that you put the number 182 in cell E1, then you can use these formulae in the cells stated: F1: =MATCH (E1,C:C)-1. to give you the level, and: G1: =E1-INDEX (C:C,F1+1) sukesh and leenaSpletlazy caterer's sequence history, lazy caterer's sequence formula, lazy caterer's sequence proof, central polygonal numbers, circle cutting problem, lazy caterer's sequence example, maximum number of pieces with n cuts, carl friedrich gauss triangular number, parallel and perpendicular lines equations, perpendicular and parallel lines, writing equations of … pair of internal doors ukSpletThe lazy caterer's sequence, more formally known as the central polygonal numbers, describes the maximum number of pieces of a disk (a pancake or pizza is usually used to describe the situation) that can be made with a given number of straight cuts. For example, three cuts across a pancake will produce six pieces if the cuts all meet at a common … sukesh and jacqueline photosSplet10. feb. 2016 · Yes, the title is making fun of certain aspects of YouTube.This is also my maths homework...And apparently it's available in 1440p... hmmmm... sukesha sculpturing lotion extra hold largeSplet怠け仕出し屋の数列（なまけしだしやのすうれつ、英語:lazy caterer's sequence）は、より堅い言葉でいうと中心多角形数（ちゅうしんたかくけいすう、central polygonal numbers）であり、ある数の直線カットで作ることのできる円板の破片の最大数を表 … pairofishSpletProof. When a circle is cut n times to produce the maximum number of pieces, represented as p = ƒ ( n ), the n th cut must be considered; the number of pieces before the last cut is ƒ ( n − 1), while the number of pieces added by the last cut is n. To obtain the maximum number of pieces, the n th cut line should cross all the other previous ... pairo fish slSpletLazy caterer's sequence, Timus Online Judge: 1209 - 1, 10, 100, 1000... Raw 1209-lzy.cpp #include #include #include using namespace std; int main () { long n; cin >> n; while (n--) { long double p, test; cin >> p; test = sqrt (8*p - 7); if (test - floor (test) == 0) cout << 1 << ' '; else cout << 0 << ' '; } } pair of internal doors