{"id":"W2397997284","doi":"","title":"More Identities On The Tribonacci Numbers.","year":2011,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":18,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Fibonacci number; Sequence (biology); Combinatorics; Polynomial; Mathematical analysis","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":[0.001646772,0.001503045,0.0008518573,0.003150154,0.001531722,0.001946114,0.001337954,0.001589482,0.01512192],"category_scores_gemma":[0.004787118,0.0005640397,0.001716852,0.002637869,0.001588031,0.005814353,0.001949618,0.00371993,0.006093116],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001648238,"about_ca_system_score_gemma":0.0006640861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001591562,"about_ca_topic_score_gemma":0.002642212,"domain_scores_codex":[0.9986216,0.0002983511,0.0001290145,0.0003031333,0.0005339651,0.0001139353],"domain_scores_gemma":[0.9986369,0.0005104053,0.0001676877,0.0002185066,0.0003794472,0.000086988],"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":[0.00001395838,0.00002911891,0.0002922929,0.0002139144,0.00001475193,0.0002475161,0.0005259432,0.001504383,0.002111011,0.9349919,0.01186687,0.04818835],"study_design_scores_gemma":[0.00001239832,0.0000616523,0.0007082831,0.0001049797,0.00004146378,0.00100192,0.0001280035,0.01217524,0.00291134,0.8497689,0.1329843,0.0001015542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02846656,0.02333902,0.6555253,0.004433657,0.01024929,0.0001532027,0.0007628677,0.0004623798,0.2766078],"genre_scores_gemma":[0.3448579,0.02440324,0.4057224,0.005443544,0.013606,0.0003699379,0.002150218,0.001039766,0.202407],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01512192,"threshold_uncertainty_score":0.05058783,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02204289880389763,"score_gpt":0.2605369201888936,"score_spread":0.238494021384996,"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."}}