A Combinatorial Interpretation of Ramanujan's Continued Fraction
Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 405-408
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The purpose of the present note is to give a combinatorial interpretation of the coefficients of expansion of the Ramanujan continued fraction ([1], p. 295) The result is expressed by formula (12) below.The enumeration of distinct score vectors of a tournament leads to the following problem: (Erdős and Moser, see Moon [2], p. 68). Given n ≥ 1, k ≥ 0, determine the number of distinct sequences of positive integers
Szekeres, G. A Combinatorial Interpretation of Ramanujan's Continued Fraction. Canadian mathematical bulletin, Tome 11 (1968) no. 3, pp. 405-408. doi: 10.4153/CMB-1968-046-x
@article{10_4153_CMB_1968_046_x,
author = {Szekeres, G.},
title = {A {Combinatorial} {Interpretation} of {Ramanujan's} {Continued} {Fraction}},
journal = {Canadian mathematical bulletin},
pages = {405--408},
year = {1968},
volume = {11},
number = {3},
doi = {10.4153/CMB-1968-046-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-046-x/}
}
TY - JOUR AU - Szekeres, G. TI - A Combinatorial Interpretation of Ramanujan's Continued Fraction JO - Canadian mathematical bulletin PY - 1968 SP - 405 EP - 408 VL - 11 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-046-x/ DO - 10.4153/CMB-1968-046-x ID - 10_4153_CMB_1968_046_x ER -
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