[math-fun] The irrational 10-adic idempotents
Has anyone studied the distribution of the digits of the 10-adic idempotents ...890625 and ...109376? See sequences A018247 and A018248 in the OEIS. The governing recurrences might be tractable (or at least more tractable than the recurrences governing the digits of p-adic quadratic irrationals). Jim Propp
My immediate intuition is that these two sequences are as normal as the square root of two. On Mon, May 13, 2019, 10:28 PM James Propp <jamespropp@gmail.com> wrote:
Has anyone studied the distribution of the digits of the 10-adic idempotents ...890625 and ...109376? See sequences A018247 and A018248 in the OEIS.
The governing recurrences might be tractable (or at least more tractable than the recurrences governing the digits of p-adic quadratic irrationals).
Jim Propp _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
I just found this: https://mathoverflow.net/questions/156301/distribution-of-digits-of-pq-adic-... So the answer to my question is “Yes”, and Allan’s intuition appears to be correct. Jim Propp On Mon, May 13, 2019 at 11:37 PM Allan Wechsler <acwacw@gmail.com> wrote:
My immediate intuition is that these two sequences are as normal as the square root of two.
On Mon, May 13, 2019, 10:28 PM James Propp <jamespropp@gmail.com> wrote:
Has anyone studied the distribution of the digits of the 10-adic idempotents ...890625 and ...109376? See sequences A018247 and A018248 in the OEIS.
The governing recurrences might be tractable (or at least more tractable than the recurrences governing the digits of p-adic quadratic irrationals).
Jim Propp _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
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Allan Wechsler -
James Propp