{"id":"W2398846996","doi":"","title":"On three types of (2, k)-distance Fibonacci numbers and number decompositions.","year":2015,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Fibonacci number; Mathematics; Combinatorics; Arithmetic","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00004833484,0.00007259574,0.0001204386,0.000007645458,0.0000481584,0.00001026002,0.00006830793,0.00001589155,0.0001075879],"category_scores_gemma":[0.000008843275,0.00006567041,0.00002643181,0.00007975283,0.00006315212,0.000051419,0.00002932038,0.00005473038,0.00005280143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009488812,"about_ca_system_score_gemma":0.0000133971,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001780966,"about_ca_topic_score_gemma":9.393041e-7,"domain_scores_codex":[0.9995987,0.000008147375,0.0001163277,0.0001066622,0.00007854775,0.00009154358],"domain_scores_gemma":[0.9995357,0.0001144906,0.00005595426,0.0001670677,0.00005371594,0.00007301449],"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":[0.000009430228,0.00009585301,0.002030487,0.000004543591,0.00001379145,1.116752e-7,0.00006927631,0.00001314773,0.00001583128,0.9961601,0.0008530591,0.000734329],"study_design_scores_gemma":[0.0003539029,0.00002372075,0.0001631507,0.00001622931,0.000009609062,3.295503e-7,0.0001218195,0.00008017679,0.0004872035,0.9970287,0.001642789,0.00007234814],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8503644,0.0000371845,0.02013699,0.0002034991,0.0001896646,0.0001898042,0.00003455269,0.00003039522,0.1288135],"genre_scores_gemma":[0.9974692,8.019e-7,0.002310998,0.00001661902,0.000007370294,0.0000144435,0.000008489403,0.000008494422,0.0001635867],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1471047,"threshold_uncertainty_score":0.2677962,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0113571144438918,"score_gpt":0.2756179834377476,"score_spread":0.2642608689938558,"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."}}