{"id":"W1970283777","doi":"10.1006/eujc.2000.0437","title":"Note Concerning an Odd Langford Sequence","year":2001,"lang":"en","type":"article","venue":"European Journal of Combinatorics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Winnipeg","funders":"","keywords":"Mathematics; Arithmetic progression; Combinatorics; Sequence (biology); Set (abstract data type); Arithmetic; Discrete mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006883335,0.0008347653,0.0006407236,0.00110901,0.002966939,0.002043497,0.001123124,0.001437481,0.009218534],"category_scores_gemma":[0.002413106,0.0002432173,0.000615596,0.001118873,0.003052921,0.004676182,0.001852936,0.002423204,0.001115549],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009358266,"about_ca_system_score_gemma":0.0005807775,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001061566,"about_ca_topic_score_gemma":0.000925328,"domain_scores_codex":[0.9997074,0.00005122353,0.00002074354,0.00006236505,0.00008273744,0.00007551614],"domain_scores_gemma":[0.9987753,0.000547612,0.0001353744,0.0001532727,0.0001568497,0.0002316051],"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":[0.0001085493,0.00001921826,0.0003829942,0.00006695453,0.000006442144,0.0007385004,0.0003225251,0.0002570642,0.001465262,0.9846918,0.005397834,0.00654291],"study_design_scores_gemma":[0.00001299012,0.00003340494,0.0004726528,0.00002031452,0.0000182223,0.0008984173,0.0001388418,0.0007570488,0.001069724,0.957481,0.03907767,0.00001972054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.3893934,0.003600566,0.09590087,0.02753046,0.01528743,0.00008322126,0.0004625783,0.0008122344,0.4669293],"genre_scores_gemma":[0.8790393,0.00185714,0.01748323,0.003057829,0.00388349,0.00005535529,0.0003028651,0.0003029149,0.09401791],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009218534,"threshold_uncertainty_score":0.03083909,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1449351775198851,"score_gpt":0.3802863079236982,"score_spread":0.2353511304038131,"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."}}