{"id":"W2767695300","doi":"","title":"Some Properties of k-Order Gaussian Fibonacci And Lucas Numbers.","year":2017,"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":"Fibonacci number; Mathematics; Lucas number; Lucas sequence; Pisano period; Fibonacci polynomials; Order (exchange); Combinatorics; Gaussian; Computational chemistry; Chemistry; Orthogonal polynomials","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":[0.0006188444,0.000486905,0.0004925728,0.002327654,0.001603268,0.003076477,0.0006316114,0.0009342653,0.009097344],"category_scores_gemma":[0.004746411,0.0003820638,0.000561216,0.001918986,0.002467821,0.002993349,0.00102898,0.00125044,0.00190179],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001510157,"about_ca_system_score_gemma":0.0007898189,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001786372,"about_ca_topic_score_gemma":0.001847529,"domain_scores_codex":[0.9996167,0.00007229347,0.00002598847,0.000057939,0.0001368764,0.00009007371],"domain_scores_gemma":[0.9983281,0.0007306163,0.0002766078,0.0001391734,0.0003504432,0.0001750403],"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":[0.0000165494,0.00000678878,0.000205744,0.00002474051,0.000002894389,0.00008207505,0.0001625861,0.0003228915,0.0004564718,0.9933509,0.001582501,0.00378595],"study_design_scores_gemma":[0.00001150795,0.00001284961,0.0005054784,0.00001716853,0.000005547126,0.0002862164,0.0001162459,0.002448224,0.0003991266,0.9887518,0.00742812,0.00001776329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.477421,0.007090708,0.1074145,0.003958724,0.00102153,0.0001183802,0.001202545,0.0005335165,0.4012391],"genre_scores_gemma":[0.9496523,0.001662625,0.01746198,0.000512563,0.0005127732,0.00008934071,0.0003573117,0.00009911247,0.0296519],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009097344,"threshold_uncertainty_score":0.03043365,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01457141367315414,"score_gpt":0.2666049790432719,"score_spread":0.2520335653701177,"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."}}