{"id":"W2400152152","doi":"","title":"Generalized Pell numbers and some relations with Fibonacci numbers.","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Mathematics; Recurrence relation; Fibonacci polynomials; Pisano period; Combinatorics; Lucas number; Lucas sequence; Arithmetic; Discrete mathematics; Orthogonal polynomials","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000746762,0.0008272695,0.0006795194,0.002791697,0.002051593,0.003820135,0.000834016,0.001044909,0.01487327],"category_scores_gemma":[0.003198143,0.0004337998,0.0008146496,0.003417224,0.003837949,0.006083251,0.001526125,0.002121194,0.00257127],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00130595,"about_ca_system_score_gemma":0.00058127,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001329686,"about_ca_topic_score_gemma":0.001723493,"domain_scores_codex":[0.9995165,0.0001362213,0.00003132109,0.00007860301,0.0001623598,0.00007495203],"domain_scores_gemma":[0.9992821,0.0003749305,0.00009593453,0.0000719285,0.0001176215,0.00005763896],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000002962409,0.000001840419,0.00002711077,0.00001436163,0.000001647476,0.00002801779,0.00004751418,0.00009594339,0.00006522722,0.9956424,0.001166267,0.002906716],"study_design_scores_gemma":[0.000002392178,0.000003061303,0.00006468192,0.000008988742,0.000002710615,0.0000770635,0.00003432146,0.0003542834,0.00005629694,0.9902175,0.009174246,0.000004466889],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.08292691,0.03887072,0.1696676,0.006935673,0.002912828,0.0001141389,0.0008963055,0.0004821276,0.6971936],"genre_scores_gemma":[0.7785695,0.01815084,0.08431507,0.002785619,0.003618492,0.000324393,0.0007626906,0.0002717793,0.1112016],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01487327,"threshold_uncertainty_score":0.04975605,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005506063318457047,"score_gpt":0.2275550527349018,"score_spread":0.2220489894164448,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}