{"id":"W2401300893","doi":"","title":"On two types of (2, k)-distance Lucas numbers.","year":2014,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Lucas number; Lucas sequence; Combinatorics; Fibonacci number; Fibonacci polynomials; Difference 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":[0.0004577097,0.0007159157,0.0006030219,0.002766434,0.00267269,0.0041013,0.001165061,0.002395246,0.01769837],"category_scores_gemma":[0.004626226,0.000519392,0.0006468231,0.002137855,0.003533783,0.005885051,0.003499812,0.002058764,0.003352143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001883014,"about_ca_system_score_gemma":0.0006079383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008836662,"about_ca_topic_score_gemma":0.001393498,"domain_scores_codex":[0.9989051,0.000203622,0.00007687438,0.0001781634,0.0003692156,0.0002669995],"domain_scores_gemma":[0.9983186,0.0005843001,0.0003266403,0.0002287921,0.0002849151,0.0002567837],"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":[0.00006274555,0.000009513785,0.0002346316,0.00004433595,0.000003640455,0.0001889047,0.0002641271,0.0003403459,0.0005816019,0.9904315,0.002616938,0.005221676],"study_design_scores_gemma":[0.00004642136,0.00003738287,0.0007525852,0.00008050286,0.00001234157,0.0007473074,0.000559519,0.002329674,0.0008886707,0.964157,0.03033472,0.00005381121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4053117,0.003885966,0.1015355,0.004922749,0.002682291,0.0001430671,0.001052946,0.0005888203,0.4798771],"genre_scores_gemma":[0.8942175,0.001022974,0.02796339,0.0007106423,0.0003971255,0.0001143013,0.0006017679,0.000192395,0.07477995],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01769837,"threshold_uncertainty_score":0.05920696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005955624869890068,"score_gpt":0.263778302223478,"score_spread":0.2578226773535879,"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."}}