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Volumn 29, Issue 3, 2008, Pages 672-675

An identity involving Narayana numbers

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[No Author keywords available]

Indexed keywords


EID: 40049110042     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2007.03.008     Document Type: Article
Times cited : (7)

References (13)
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  • 2
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    • Parity reversing involutions on plane trees and 2-Motzkin paths
    • Chen W.Y.C., Shapiro L.W., and Yang L.L.M. Parity reversing involutions on plane trees and 2-Motzkin paths. European J. Combin. 27 (2006) 283-289
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    • Chen, W.Y.C.1    Shapiro, L.W.2    Yang, L.L.M.3
  • 3
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    • A bijection on Dyck paths and its consequences
    • Deutsch E. A bijection on Dyck paths and its consequences. Discrete Math. 179 (1998) 253-256
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    • Deutsch, E.1
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    • Cambridge University Press Reprinted by Chelsea, 1960
    • MacMahon P.A. Combinatorial Analysis vols. 1 and 2 (1915-1916), Cambridge University Press Reprinted by Chelsea, 1960
    • (1916) Combinatorial Analysis , vol.1-2
    • MacMahon, P.A.1
  • 5
    • 0000400951 scopus 로고
    • Sur les treillis formés par les partitions d'une unties et leurs applications á la théorie des probabilités
    • Narayana T.V. Sur les treillis formés par les partitions d'une unties et leurs applications á la théorie des probabilités. Comp. Rend. Acad. Sci. Paris 240 (1955) 1188-1189
    • (1955) Comp. Rend. Acad. Sci. Paris , vol.240 , pp. 1188-1189
    • Narayana, T.V.1
  • 6
    • 0001837439 scopus 로고
    • A partial order and its application to probability theory
    • Narayana T.V. A partial order and its application to probability theory. Sankhyā 21 (1959) 91-98
    • (1959) Sankhyā , vol.21 , pp. 91-98
    • Narayana, T.V.1
  • 8
    • 0009477779 scopus 로고
    • Enumeration of plane trees by branches and endpoints
    • Riordan J. Enumeration of plane trees by branches and endpoints. J. Combin. Theory Ser. A 19 (1975) 214-222
    • (1975) J. Combin. Theory Ser. A , vol.19 , pp. 214-222
    • Riordan, J.1
  • 9
    • 40049096077 scopus 로고    scopus 로고
    • N.J.A. Sloane, The on-line encyclopedia of integer sequences. http://www.research.att.com/~njas/sequences
    • N.J.A. Sloane, The on-line encyclopedia of integer sequences. http://www.research.att.com/~njas/sequences
  • 10
  • 11
    • 0001286213 scopus 로고    scopus 로고
    • Constraint-sensitive Catalan path statistics having the Narayana distribution
    • Sulanke R.A. Constraint-sensitive Catalan path statistics having the Narayana distribution. Discrete Math. 204 (1999) 397-414
    • (1999) Discrete Math. , vol.204 , pp. 397-414
    • Sulanke, R.A.1
  • 12
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    • Y. Sun, Personal communication
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  • 13
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    • Binomial coefficients. http://binomial.csuhayward.edu/IdentitiesNamed.htm
    • Binomial coefficients. http://binomial.csuhayward.edu/IdentitiesNamed.htm


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.