{"id":"W2396337055","doi":"","title":"Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers","year":2013,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Mathematics; Gaussian; Lucas number; Combinatorics; Chemistry; Computational chemistry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00006410675,0.0002016948,0.0002289076,0.00002557714,0.0002260617,0.0001008764,0.0001711046,0.0000685907,0.00138227],"category_scores_gemma":[0.000008980131,0.0001781886,0.00007165538,0.0001484976,0.0001455002,0.0002294166,0.00009499414,0.0002445307,0.0004428877],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001789297,"about_ca_system_score_gemma":0.00001890084,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001303892,"about_ca_topic_score_gemma":7.507039e-7,"domain_scores_codex":[0.9989715,0.0000237384,0.0002345235,0.0002879555,0.0001323435,0.0003499005],"domain_scores_gemma":[0.999181,0.0001107525,0.00008908106,0.0003387257,0.00004594653,0.0002344825],"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":[0.000001926511,0.000106865,0.003141369,0.000008855716,0.00002679527,6.654475e-7,0.0001568125,0.000001245098,0.0001773883,0.9918619,0.001035731,0.003480417],"study_design_scores_gemma":[0.0004741222,0.00002792289,0.002630637,0.00001672631,0.00001799551,0.000002367942,0.0006804579,0.0001240102,0.0005329757,0.9904744,0.004790478,0.0002279142],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8162522,0.00006003214,0.00174422,0.0012735,0.0004139106,0.0005678142,0.00001971628,0.0000984407,0.1795702],"genre_scores_gemma":[0.9963315,0.000003408528,0.001543013,0.00006394835,0.00004106742,0.0001712169,0.00001706109,0.00002951421,0.001799255],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1800793,"threshold_uncertainty_score":0.9995306,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007031554603754949,"score_gpt":0.2455159591631932,"score_spread":0.2384844045594382,"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."}}