{"id":"W4403207812","doi":"10.1080/00150517.2011.12428046","title":"Some Identities for <i>r</i> -Fibonacci Numbers","year":2011,"lang":"en","type":"article","venue":"The Fibonacci quarterly","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Fibonacci number; Mathematics; Combinatorics; Genealogy; History","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001332602,0.0001958216,0.0002120661,0.00002326744,0.0003401322,0.00006490121,0.0003701779,0.00003411006,0.0004883599],"category_scores_gemma":[0.000001530779,0.0001458459,0.0002092918,0.0001006588,0.0001261275,0.0002724211,0.00002666974,0.0001110008,0.0002535018],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000127236,"about_ca_system_score_gemma":0.00002292641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000622257,"about_ca_topic_score_gemma":0.000008039254,"domain_scores_codex":[0.9989357,0.00002082889,0.0003051641,0.0002511305,0.0001243832,0.0003628119],"domain_scores_gemma":[0.9990678,0.0001790213,0.0001308434,0.0004695962,0.00006432371,0.00008835077],"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":[0.00001819817,0.00009882994,0.00009147446,0.00001300136,0.00004922834,2.109373e-7,0.001584677,0.000001040105,0.0001508133,0.9854048,0.00266024,0.009927415],"study_design_scores_gemma":[0.000348369,0.0001079655,0.00009184135,0.000008881903,0.00004412732,0.000001358749,0.003623069,0.00008378602,0.0004077639,0.9747828,0.02029244,0.0002076297],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08246272,0.0002698418,0.7521294,0.0007383522,0.0009611514,0.002674361,0.0004532008,0.0003834616,0.1599275],"genre_scores_gemma":[0.9869229,0.000001699218,0.0050124,0.000203457,0.0007445614,0.0006715169,0.00003325301,0.00004414204,0.006366046],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9044602,"threshold_uncertainty_score":0.5947425,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01899849252968624,"score_gpt":0.2581013687811687,"score_spread":0.2391028762514825,"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."}}