{"id":"W2159207128","doi":"","title":"On the Behavior of a Variant of Hofstadter's Q-Sequence","year":2007,"lang":"en","type":"article","venue":"Journal of integer sequences","topic":"semigroups and automata theory","field":"Computer Science","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Fibonacci number; Combinatorics; Sequence (biology); Mathematics; Recursion (computer science); Integer (computer science); Partition (number theory); Monotone polygon; Integer sequence; Block (permutation group theory); Discrete mathematics; Algorithm; Generating function; Computer science","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":[0.00257387,0.0001137723,0.0002684745,0.0001908638,0.00004226856,0.00004137018,0.001543126,0.00005056472,0.00005264313],"category_scores_gemma":[0.0002327227,0.00006062362,0.0001704785,0.0003474128,0.0002419942,0.0003807221,0.00008233942,0.0002515681,0.000003326169],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003787674,"about_ca_system_score_gemma":0.000151153,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000605403,"about_ca_topic_score_gemma":0.000006420294,"domain_scores_codex":[0.998322,0.00009777484,0.0007286612,0.0001207396,0.0005445962,0.0001862549],"domain_scores_gemma":[0.9975888,0.0007397425,0.0009249094,0.0003562378,0.0003252186,0.00006507913],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00007879853,0.0003045373,0.0006779857,0.00002665852,0.00008312449,0.0006502285,0.002646873,0.0000764029,0.1646851,0.7936201,0.0005550755,0.03659508],"study_design_scores_gemma":[0.0006141056,0.002833639,0.008012379,0.001299729,0.00008219622,0.002619732,0.002299077,0.001864324,0.8070098,0.1723894,0.0005795479,0.0003960753],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8487503,0.0002912615,0.1482944,0.0007675039,0.0006008784,0.0001042741,0.000004116049,0.00001160064,0.001175663],"genre_scores_gemma":[0.9924504,0.0000262881,0.007179657,0.0002540504,0.00005373279,0.000001683261,8.295895e-8,0.000004334608,0.00002976148],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6423247,"threshold_uncertainty_score":0.2867538,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02733554516420093,"score_gpt":0.2814437942101186,"score_spread":0.2541082490459176,"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."}}