{"id":"W4400596715","doi":"10.55016/ojs/cdm.v13i2.62729","title":"On the order of appearance of product of consecutive Fibonacci numbers","year":2018,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Silpakorn University; Thailand Research Fund; Institute for the Promotion of Teaching Science and Technology","keywords":"Combinatorics; Fibonacci number; Order (exchange); Integer (computer science); Product (mathematics); Mathematics; Physics; Geometry; Computer science","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":[0.0002033831,0.0001127928,0.0003040112,0.00002635261,0.00009770469,0.000005292785,0.0002174019,0.00001805542,0.0002605619],"category_scores_gemma":[0.0004164731,0.00007448988,0.00009039143,0.0003818982,0.000461963,0.00002856937,0.00006635959,0.00006827378,0.00003124985],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001029687,"about_ca_system_score_gemma":0.0000472088,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009111505,"about_ca_topic_score_gemma":7.340595e-7,"domain_scores_codex":[0.9991263,0.00002471186,0.0004200048,0.0001270124,0.0001471747,0.0001548678],"domain_scores_gemma":[0.9980804,0.0004423634,0.000299522,0.0005065712,0.0006277225,0.00004342757],"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":[0.00001354725,0.0001622222,0.00002393331,0.00004127078,0.00005731261,1.534149e-8,0.0006677174,0.00003662434,0.002528555,0.9958985,0.0003912232,0.0001790532],"study_design_scores_gemma":[0.0002278652,0.0001010507,0.00003700826,0.0002536072,0.00005261432,2.991182e-7,0.001340905,0.0004834084,0.1308365,0.8658766,0.0006833851,0.0001067289],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1262912,0.00002455441,0.8439181,0.001187513,0.00003740525,0.001037518,0.001215499,0.00001478802,0.02627339],"genre_scores_gemma":[0.9912437,8.249571e-7,0.008404393,0.00001940521,0.00004543694,0.00007225298,0.000008383813,0.00001004069,0.0001955263],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8649525,"threshold_uncertainty_score":0.3037609,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008473039852822684,"score_gpt":0.3024948939827146,"score_spread":0.294021854129892,"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."}}