Friday, April 5

Sharp peaks and high plateaus

I've decided to create a depository here for large unknowns (indices up to one million) in OEIS sequence A228474. The actual greater-than value for some of the entries will change slowly with time as I resolve some of the particulars.

Last update: August 20
Number of unknowns: 636 + 100 ~

Sharp peaks (6):      High plateaus (742):  allpoints endpoints

274788  > 10^13       185 @ 217866 - 218050  > 10^10   > 10^13
275164  > 10^13       300 @ 537684 - 537983  > 10^10   > 10^13
407340  > 10^13        25 @ 725023 - 725047  > 10^11   > 10^13
826519  > 10^13        19 @ 743348 - 743366  > 10^11   > 10^13
847869  > 10^13       101 @ 877617 - 877717  > 10^10   > 10^13
956337  > 10^13

Known and assumed approximately-known (~) terms > 10^12:

a(11281)  =  3285983871526
a(36618)  =  8971966863840
a(417267) =  3259120485278
a(537661) =  2184095444369
a(537662) =  2184095444367
a(537663) =  2184095444365
a(537664) =  2184095446827
a(537665) =  2184095446825
a(537666) =  2184095449375
a(537667) =  2184095449373
a(537668) =  2184095449371
a(537669) =  2184095456033
a(537670) =  2184095456031
a(537671) =  2184095456029
a(537672) =  2184095460719
a(537673) =  2184095460717
a(537674) =  2184095460715
a(537675) =  2184095465413
a(537676) =  2184095465411
a(537677) =  2184095465409
a(537678) =  2184095470115
a(537679) =  2184095470113
a(537680) =  2184095470111
a(537681) =  2184095474825
a(537682) =  2184095474823
a(537683) =  2184095474821
a(818152) =  4014759495787
a(818153) =  4014759495785
a(818154) =  4014759495783
a(818155) =  4014759495781
a(818156) =  4014759495779
a(818157) =  4014759495777
a(818158) =  4014759495775

a(818159) =  4014759495773
a(818160) =  ~
         ...
a(818259) =  ~
a(818260) =  4014759486147
a(818261) =  4014759486145
a(818262) =  4014759486143
a(818263) =  4014759486141

• My working a-file: indexed text file [15.4 MB] or deindexed and compressed [2.1 MB]
• My pictures:  a graph up to the first high plateau; plateauing just beyond 847000
• My gratitude: to Hugo van der Sanden whose C coding has made this possible

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