{"id":2569,"date":"2014-10-04T16:00:14","date_gmt":"2014-10-04T21:00:14","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/icm00794\/?p=2569"},"modified":"2025-12-11T20:34:53","modified_gmt":"2025-12-12T01:34:53","slug":"3eva2008ti_t1-numero-catalan-recursivo","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/fp-3eva10\/3eva2008ti_t1-numero-catalan-recursivo\/","title":{"rendered":"3Eva2008TI_T1 N\u00famero catal\u00e1n recursivo"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\" id=\"3EvaIT2008\">3ra Evaluaci\u00f3n I T\u00e9rmino 2008-2009. Septiembre 16, 2008 \/ICM00794<\/h2>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"331\" height=\"110\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2014\/10\/catalan01.gif\" alt=\"catal\u00e1n n\u00famero\" class=\"wp-image-17168\" \/><\/figure>\n\n\n\n<p><strong>Tema 1<\/strong> (25 puntos). El <strong>n<\/strong>-\u00e9simo n\u00famero Catal\u00e1n (en hojor a Eugene Catal\u00e1n) se obtiene con las f\u00f3rmulas: <\/p>\n\n\n\n<p>a. Realice la funci\u00f3n catalan1(<strong>n<\/strong>) resuelta con factoriales, la cual retornar\u00e1 el <strong>n<\/strong>-\u00e9simo n\u00famero Catal\u00e1n.<\/p>\n\n\n\n<figure class=\"wp-block-image alignright\"><img loading=\"lazy\" decoding=\"async\" width=\"393\" height=\"111\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2015\/03\/catalan02.gif\" alt=\"numero catalan formula 2\" class=\"wp-image-316\" \/><\/figure>\n\n\n\n<p>N\u00famero Catal\u00e1n: 1, 1, 2, 5, 14, 42, ... <\/p>\n\n\n\n<p>b. Elabore la funci\u00f3n recursiva catalan2(<strong>n<\/strong>), la cu\u00e1l retornar\u00e1 el <strong>n<\/strong>-\u00e9simo n\u00famero de Catal\u00e1n.<\/p>\n\n\n\n<p>c. Escriba un programa principal que genere un n\u00famero aleatorio entre 1 y 10 para generar el respectivo n\u00famero de Catal\u00e1n con la llamada a las dos funciones y verifique el resultado entre ambos casos.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Literal a (10 puntos), literal b(10 puntos), literal c (5puntos)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3ra Evaluaci\u00f3n I T\u00e9rmino 2008-2009. Septiembre 16, 2008 \/ICM00794 Tema 1 (25 puntos). El n-\u00e9simo n\u00famero Catal\u00e1n (en hojor a Eugene Catal\u00e1n) se obtiene con las f\u00f3rmulas: a. Realice la funci\u00f3n catalan1(n) resuelta con factoriales, la cual retornar\u00e1 el n-\u00e9simo n\u00famero Catal\u00e1n. N\u00famero Catal\u00e1n: 1, 1, 2, 5, 14, 42, ... b. Elabore la funci\u00f3n [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-fp-ejercicios","format":"standard","meta":{"footnotes":""},"categories":[120],"tags":[156],"class_list":["post-2569","post","type-post","status-publish","format-standard","hentry","category-fp-3eva10","tag-funciones-recursivas"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2569","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=2569"}],"version-history":[{"count":4,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2569\/revisions"}],"predecessor-version":[{"id":17169,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/2569\/revisions\/17169"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=2569"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=2569"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=2569"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}