{"id":"W2495320945","doi":"10.5539/jmr.v8n4p172","title":"A General Family of Fibonacci-Type Squences","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Mathematics; Fibonacci polynomials; Type (biology); Pisano period; Generalization; Sequence (biology); Combinatorics; Lucas number; Discrete mathematics; Mathematical analysis; 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":[0.0005463872,0.0005245914,0.0004996198,0.001199841,0.001653186,0.001125026,0.0006798591,0.0009776438,0.005816275],"category_scores_gemma":[0.001656616,0.000187648,0.0005810848,0.0008026731,0.001113766,0.001956948,0.0006268059,0.0007898603,0.0009245172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005241962,"about_ca_system_score_gemma":0.0006188325,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00071217,"about_ca_topic_score_gemma":0.0008009197,"domain_scores_codex":[0.9996412,0.00005746086,0.00002975979,0.00008650767,0.0001245411,0.00006055397],"domain_scores_gemma":[0.9996108,0.0001062203,0.00003421828,0.00006736717,0.0001349954,0.00004633086],"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":[0.00002623762,0.00001298262,0.0006617536,0.0000808406,0.00001009784,0.0007831709,0.0002090849,0.003441535,0.006691205,0.9667487,0.002041195,0.01929315],"study_design_scores_gemma":[0.00002526052,0.00005622445,0.0008552565,0.00005919108,0.00001635186,0.00334593,0.0002591423,0.04940429,0.004467938,0.8934581,0.04800139,0.00005083653],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2181126,0.003278267,0.6236914,0.001018319,0.001163124,0.0002305547,0.0004749438,0.0004070282,0.1516238],"genre_scores_gemma":[0.8314233,0.002170215,0.1170658,0.0006576299,0.0004737957,0.0003337825,0.0005592984,0.0001155349,0.04720066],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005816275,"threshold_uncertainty_score":0.0194574,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0968415714157739,"score_gpt":0.4299585716683706,"score_spread":0.3331170002525967,"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."}}