{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009552553,0.0008314747,0.0008325526,0.00309267,0.002472409,0.003700083,0.001085726,0.001547417,0.01264957],"category_scores_gemma":[0.004375086,0.0004408082,0.0007434431,0.002182948,0.005266612,0.006106417,0.002689922,0.003242953,0.00210117],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002141723,"about_ca_system_score_gemma":0.001314898,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001790064,"about_ca_topic_score_gemma":0.001682539,"domain_scores_codex":[0.9991352,0.0001429657,0.00003461728,0.0001396512,0.0003314335,0.0002160889],"domain_scores_gemma":[0.9982491,0.0004302039,0.0003110537,0.0002541239,0.0004063596,0.0003491379],"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":[0.000006056224,0.000003025787,0.00003510358,0.000004406156,6.732078e-7,0.00001123659,0.00004877499,0.00009462937,0.0000662019,0.9982281,0.0005590803,0.0009428225],"study_design_scores_gemma":[0.000005426401,0.000004088261,0.00010677,0.000005047087,0.00000207478,0.00004208339,0.00003832861,0.001001723,0.0001018716,0.9953187,0.00336463,0.000009280127],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3830015,0.002693025,0.1704956,0.01111344,0.001677105,0.0001206424,0.0008502586,0.0008096452,0.4292388],"genre_scores_gemma":[0.8695087,0.00118832,0.01977046,0.001410365,0.001427634,0.0000872533,0.0002252756,0.000218103,0.1061639],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01264957,"threshold_uncertainty_score":0.04231703,"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."}}