A NOTE ON PASCAL'S MATRIX
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1999, v.6 no.2, pp.121-127
Cheon, Gi-Sang
(Dept. of Mathematics, Daejin University)
Kim, Jin-Soo
(Dept. of Mathematics, Sungkyunkwan University)
Yoon, Haeng-Won
(Dept. of Mathematics, Daejin University)
Cheon, Gi-Sang,
Kim, Jin-Soo,
&
Yoon, Haeng-Won.
(1999). A NOTE ON PASCAL'S MATRIX. 한국수학교육학회지시리즈B:순수및응용수학, 6(2), 121-127.
Abstract
We can get the Pascal's matrix of order n by taking the first n rows of Pascal's triangle and filling in with 0's on the right. In this paper we obtain some well known combinatorial identities and a factorization of the Stirling matrix from the Pascal's matrix.
- keywords
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Binomial coefficients,
Pascal's matrix,
Stirling number,
Stirling matrix