{"id":"W2613999143","doi":"","title":"Gaussian Fibonacci And Gaussian Lucas p-Numbers.","year":2017,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Mathematics; Lucas number; Gaussian; Lucas sequence; Pisano period; Fibonacci polynomials; Combinatorics; Orthogonal polynomials; Physics; Quantum mechanics","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":[0.0006590183,0.0007435105,0.0005244521,0.002007307,0.001805257,0.002856101,0.0006723221,0.001263936,0.01033125],"category_scores_gemma":[0.003797341,0.0003368969,0.0006199146,0.001268324,0.003710507,0.004138535,0.001690003,0.002114794,0.00234657],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001509454,"about_ca_system_score_gemma":0.0009165207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001803489,"about_ca_topic_score_gemma":0.002022514,"domain_scores_codex":[0.9994796,0.0001159655,0.00002030938,0.00008331736,0.0001804458,0.0001205493],"domain_scores_gemma":[0.9989152,0.0004227517,0.0001445346,0.0001150951,0.0002484369,0.000154005],"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":[0.0000057931,0.000002507912,0.00003721082,0.000007257408,0.000001063279,0.00002608799,0.00003684815,0.0001170843,0.00009840061,0.9970469,0.001217564,0.001403373],"study_design_scores_gemma":[0.000005083263,0.000004750597,0.0001043519,0.000008419715,0.0000024057,0.00007810148,0.00004080664,0.001261271,0.000117125,0.9927679,0.005603219,0.000006606246],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1970127,0.01164354,0.1999564,0.009493914,0.002494132,0.00009440922,0.0008316491,0.0006307213,0.5778424],"genre_scores_gemma":[0.8813032,0.00328503,0.03117277,0.001804133,0.001399784,0.0001104165,0.000312269,0.000129804,0.08048256],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01033125,"threshold_uncertainty_score":0.03456146,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0112765304259848,"score_gpt":0.28384345267275,"score_spread":0.2725669222467652,"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."}}