Following along Brad's comments, here are the first occurrences of pairs starting with 0 in Van Eck's sequence. Anyone want to try to fill in the value for (0,32) (or (0,n) for n>34)? Pair 0 0 at 1 Pair 0 1 at 2 Pair 0 2 at 4 Pair 0 3 at 21 Pair 0 4 at 25 Pair 0 5 at 11 Pair 0 6 at 31 Pair 0 7 at 277 Pair 0 8 at 389 Pair 0 9 at 82 Pair 0 10 at 226 Pair 0 11 at 727 Pair 0 12 at 2,936 Pair 0 13 at 1,409 Pair 0 14 at 7,719 Pair 0 15 at 5,625 Pair 0 16 at 5,681 Pair 0 17 at 85,999 Pair 0 18 at 26,707 Pair 0 19 at 546,291 Pair 0 20 at 1,112,930 Pair 0 21 at 702,576 Pair 0 22 at 3,425,418 Pair 0 23 at 10,537,361 Pair 0 24 at 21,301,907 Pair 0 25 at 217,230,901 Pair 0 26 at 108,698,092 Pair 0 27 at 32,381,775 Pair 0 28 at 846,522,987 Pair 0 29 at 851,764,847 Pair 0 30 at 11,692,311,326 Pair 0 31 at 46,163,898,988 Pair 0 32 at ??? Pair 0 33 at 118,456,929,919 Pair 0 34 at 250,327,022,558 Pair 0 35 at ??? On Wed, Jun 12, 2019 at 12:25 AM Brad Klee <bradklee@gmail.com> wrote:
Ouch... this one looks like it could lead to some serious brain damage.
If A171868 lists all integers, then so too does A181391. Due to the rule, A171868 has much slower growth and, as far as I can tell, could even be bounded above. Does A171868 always continue to grow?
I don't know.
--Brad
On Tue, Jun 11, 2019 at 2:48 AM Bill Gosper <billgosper@gmail.com> wrote:
Neil Sloane has Numberphiled a perplexing integer sequence: https://www.youtube.com/watch?v=etMJxB-igrc —rwg _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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