{"id":"W2950432683","doi":"","title":"Convolution identities for Tribonacci numbers.","year":2018,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Convolution (computer science); Computer science; Artificial intelligence","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":[0.00006647397,0.00007248481,0.0001031044,0.00001186539,0.0001929539,0.00002613122,0.00009666338,0.00001854152,0.0003190618],"category_scores_gemma":[0.00001174905,0.00006967902,0.00005947618,0.00007743954,0.00009645298,0.00009766361,0.0000275346,0.00003580595,0.0001248522],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001285406,"about_ca_system_score_gemma":0.00001341693,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008013181,"about_ca_topic_score_gemma":3.082864e-7,"domain_scores_codex":[0.9995371,0.000006687166,0.0001265671,0.0001203245,0.00005693245,0.0001523987],"domain_scores_gemma":[0.9995474,0.00009440654,0.00005431075,0.0001603926,0.0001027197,0.00004075167],"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":[0.000005954533,0.00004855572,0.0002052169,0.000004839866,0.00001457012,1.802967e-8,0.00006328333,2.716217e-7,0.0001348893,0.9938623,0.00478183,0.000878228],"study_design_scores_gemma":[0.0004351427,0.00003782598,0.00004884513,0.000005865629,0.00001330917,1.464154e-7,0.0002077282,0.0001166042,0.00335679,0.9749163,0.02077622,0.00008521217],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5291457,0.00005698769,0.316086,0.0005217037,0.00218846,0.001183751,0.0001359836,0.0001921995,0.1504892],"genre_scores_gemma":[0.9955218,7.104668e-7,0.001934929,0.00002799072,0.00008437495,0.0001432088,0.00002492239,0.00001152479,0.00225052],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4663761,"threshold_uncertainty_score":0.3493503,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01179741753997246,"score_gpt":0.2872344292052236,"score_spread":0.2754370116652511,"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."}}