A NOTE ON DIFFERENCE SEQUENCES

Park, Jin-Woo; Park, Jin-Woo

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P-ISSN3059-0604
E-ISSN3059-1309
KCI

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ISSN : 3059-0604

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Vol.16 No.3

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A NOTE ON DIFFERENCE SEQUENCES

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2009, v.16 no.3, pp.255-258

Park, Jin-Woo (INFORMATION TECHNOLOGY MANPOWER DEVELOPMENT PROGRAM, KYUNGPOOK NATIONAL UNIVERSITY)

Park, Jin-Woo. (2009). A NOTE ON DIFFERENCE SEQUENCES, 16(3), 255-258.

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Abstract

It is well known that for a sequence a = ($a_0,\;a_1$,...) the general term of the dual sequence of a is $a_n\;=\;c_0\;^n_0\;+\;c_1\;^n_1\;+\;...\;+\;c_n\;^n_n$, where c = ($c_0,...c_n$ is the dual sequence of a. In this paper, we find the general term of the sequence ($c_0,\;c_1$,... ) and give another method for finding the inverse matrix of the Pascal matrix. And we find a simple proof of the fact that if the general term of a sequence a = ($a_0,\;a_1$,... ) is a polynomial of degree p in n, then ${\Delta}^{p+1}a\;=\;0$.

keywords: difference sequence, Pascal matrix

참고문헌

(1993). . Amer. Math. Monthly, 200, 372-376.

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논문 상세

Vol.16 No.3

A NOTE ON DIFFERENCE SEQUENCES

A NOTE ON DIFFERENCE SEQUENCES

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학