{"id":"W2406494304","doi":"","title":"On generalized Pell numbers generated by Fibonacci and Lucas numbers.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Lucas number; Lucas sequence; Mathematics; Fibonacci polynomials; Pisano period; Combinatorics; Arithmetic; Classical orthogonal polynomials; 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":[0.0005462668,0.00102377,0.0007520087,0.002912537,0.0017559,0.002907177,0.0007818439,0.001052908,0.01308853],"category_scores_gemma":[0.003283482,0.0004315965,0.0007854477,0.002255656,0.002929084,0.004760316,0.001818947,0.001792557,0.002904304],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001347948,"about_ca_system_score_gemma":0.0006507228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001240794,"about_ca_topic_score_gemma":0.001619905,"domain_scores_codex":[0.9994711,0.0001479092,0.00002553035,0.00008421776,0.0001542023,0.0001170666],"domain_scores_gemma":[0.9991263,0.000423695,0.0001354303,0.00007142019,0.0001548014,0.00008838961],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001336736,0.00000410249,0.00006437062,0.00003130066,0.000002800426,0.00007597236,0.0001043642,0.0005900671,0.0003003269,0.9930698,0.001404308,0.004339095],"study_design_scores_gemma":[0.000008003544,0.000007656222,0.0001136932,0.00001947303,0.000004585283,0.0001446493,0.00005399774,0.001676853,0.000215603,0.9906572,0.007086905,0.00001129676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2518339,0.01661252,0.2015415,0.004271583,0.00258114,0.0001462898,0.0008209701,0.0005446327,0.5216474],"genre_scores_gemma":[0.8803358,0.006306229,0.03710667,0.001042596,0.001651465,0.0001983294,0.0006257604,0.0002535583,0.07247946],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01308853,"threshold_uncertainty_score":0.04378545,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005420133839280236,"score_gpt":0.2423768202235543,"score_spread":0.236956686384274,"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."}}