In the existing literature there are many combinatorial interpretations for the sequence (ai)= 1; 3; 7; 17; 41;... (M2665 in The Encyclopedia ofI nteger Sequences, Academic Press, New York, 1995), and at least one for the subsequence of its odd-indexed terms, i.e. 1; 7; 41; 239; .... using the area under elevated Schroder paths. We provide a combinatorial interpretation for the subsequence given by the remaining terms 3; 17; 99;.... also in this case by using the area under Schroder paths.
Some bijective results about the area of Schroder paths / E. GRAZZINI; E. PERGOLA; L. FERRARI; S. RINALDI. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - STAMPA. - 307:(2003), pp. 327-335. [10.1016/S0304-3975(03)00223-8]
Some bijective results about the area of Schroder paths
GRAZZINI, ELISABETTA;PERGOLA, ELISA;FERRARI, LUCA;
2003
Abstract
In the existing literature there are many combinatorial interpretations for the sequence (ai)= 1; 3; 7; 17; 41;... (M2665 in The Encyclopedia ofI nteger Sequences, Academic Press, New York, 1995), and at least one for the subsequence of its odd-indexed terms, i.e. 1; 7; 41; 239; .... using the area under elevated Schroder paths. We provide a combinatorial interpretation for the subsequence given by the remaining terms 3; 17; 99;.... also in this case by using the area under Schroder paths.
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