Partition recurrences
نویسندگان
چکیده
منابع مشابه
Solving Recurrences
An (infinite) sequence is a function from the set IN = {0, 1, 2, . . .} of natural numbers to some set S. If a : IN → S is a sequence, we often denote a(n) by an. The values a0, a1, a2, . . . are called the elements or terms of the sequence. A recurrence relation is a way of defining a sequence. A few of the first elements of the sequence are given explicitly. Then, the recurrence relation give...
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A recurrence is a recursive description of a function, usually of the form F : IN→ IR, or a description of such a function in terms of itself. Like all recursive structures, a recurrence consists of one or more base cases and one or more recursive cases. Each of these cases is an equation or inequality, with some function value f (n) on the left side. The base cases give explicit values for a (...
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with initial terms u0 ux = ••• = ur_2 = 0, ur_1 1. Then (u) is called a unit sequence with coefficients al5 a25 -.., ar. For a positive integer AT, the primitive period of (u) modulo AT, denoted by K(M), is the least positive integer m such that un + m = un (mod AT) for all nonnegative integers n greater than or equal to some fixed integer n0. It is known that the primitive period modulo M of a...
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In this paper we find all solutions of four kinds of the Diophantine equations begin{equation*} ~x^{2}pm V_{t}xy-y^{2}pm x=0text{ and}~x^{2}pm V_{t}xy-y^{2}pm y=0, end{equation*}% for an odd number $t$, and, begin{equation*} ~x^{2}pm V_{t}xy+y^{2}-x=0text{ and}text{ }x^{2}pm V_{t}xy+y^{2}-y=0, end{equation*}% for an even number $t$, where $V_{n}$ is a generalized Lucas number. This pape...
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The results of quantum photoabsorption calculations are presented for H, K, and Cs atoms in static electric fields. The recurrence spectra for ^Lz&Þ0 show features at scaled actions an order of magnitude shorter than for any classical closed orbit of this system. Two interesting manifestations are presented, and some of the systematics of the peak strengths are explored. These features suggest ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1973
ISSN: 0097-3165
DOI: 10.1016/0097-3165(73)90070-8