{"id":"W129481463","doi":"","title":"Tribonacci sequences with certain indices and their sums","year":2008,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":43,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Statistics","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":[0.00004112895,0.0001026924,0.0001363105,0.00001424691,0.0002115829,0.00001662907,0.00008938105,0.00001625082,0.0000644443],"category_scores_gemma":[0.000002899603,0.00006719401,0.00002202499,0.0001156522,0.0001496867,0.000097722,0.00002910306,0.00007519562,0.000009396598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005308932,"about_ca_system_score_gemma":0.00002083228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002882078,"about_ca_topic_score_gemma":6.520273e-7,"domain_scores_codex":[0.99955,0.00001204793,0.00009699032,0.0001420515,0.00005913953,0.0001398155],"domain_scores_gemma":[0.9995903,0.0001241866,0.00005533747,0.0001405486,0.00002592965,0.00006365454],"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":[0.000004946352,0.00005175409,0.007013935,0.000003469573,0.00001920837,6.244745e-7,0.0003508168,0.000002601737,0.00007739711,0.9910711,0.00006804086,0.001336118],"study_design_scores_gemma":[0.0003424808,0.00004716355,0.0007924404,0.00001018556,0.000005574093,0.000003310774,0.0007659036,0.00003432584,0.001954469,0.9935198,0.002412662,0.0001116497],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9873651,0.00006058288,0.001604991,0.0001628034,0.00003767993,0.0001403164,0.00001154948,0.00003054893,0.01058648],"genre_scores_gemma":[0.9990221,0.000008599232,0.0006307521,0.0000208261,0.00001127579,0.00004833726,0.000008620044,0.000009336476,0.0002400986],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01165711,"threshold_uncertainty_score":0.2740092,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01155628825511641,"score_gpt":0.2380246911680908,"score_spread":0.2264684029129744,"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."}}