Hello Math-Fun, In this country, digits go by closed boxes containing 10 distinct digits each. To write the number 2019 you can open a single box and extract the digits 2, 0, 1 and 9. We call "imbalance" the quantity of unused digit in one (or more) opened box(es). So, writing 2019 leaves an imbalance of 6 (the 6 unused digits in the box). Now, if we want to write 2020 we must open two boxes (...) The question: "Is S infinite?" is explained there, on my personal blog page: http://cinquantesignes.blogspot.com/2020/02/integer-imbalance.html Best, É.
At step 65,577,857 we reach 1,023,456,798, whose IM is zero, and the sequence is constant thereafter. On Thu, Feb 20, 2020 at 2:59 PM Éric Angelini <bk263401@skynet.be> wrote:
Hello Math-Fun, In this country, digits go by closed boxes containing 10 distinct digits each. To write the number 2019 you can open a single box and extract the digits 2, 0, 1 and 9. We call "imbalance" the quantity of unused digit in one (or more) opened box(es). So, writing 2019 leaves an imbalance of 6 (the 6 unused digits in the box).
Now, if we want to write 2020 we must open two boxes (...)
The question: "Is S infinite?" is explained there, on my personal blog page: http://cinquantesignes.blogspot.com/2020/02/integer-imbalance.html Best, É.
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Pardon me, it's one step earlier, at step 65,577,856. On Thu, Feb 20, 2020 at 4:50 PM Tom Duff <td@pixar.com> wrote:
At step 65,577,857 we reach 1,023,456,798, whose IM is zero, and the sequence is constant thereafter.
On Thu, Feb 20, 2020 at 2:59 PM Éric Angelini <bk263401@skynet.be> wrote:
Hello Math-Fun, In this country, digits go by closed boxes containing 10 distinct digits each. To write the number 2019 you can open a single box and extract the digits 2, 0, 1 and 9. We call "imbalance" the quantity of unused digit in one (or more) opened box(es). So, writing 2019 leaves an imbalance of 6 (the 6 unused digits in the box).
Now, if we want to write 2020 we must open two boxes (...)
The question: "Is S infinite?" is explained there, on my personal blog page: http://cinquantesignes.blogspot.com/2020/02/integer-imbalance.html Best, É.
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Many thanks and bravo Tom! Best, É.
Le 21 févr. 2020 à 01:50, Tom Duff <td@pixar.com> a écrit :
At step 65,577,857 we reach 1,023,456,798, whose IM is zero, and the sequence is constant thereafter.
On Thu, Feb 20, 2020 at 2:59 PM Éric Angelini <bk263401@skynet.be> wrote:
Hello Math-Fun, In this country, digits go by closed boxes containing 10 distinct digits each. To write the number 2019 you can open a single box and extract the digits 2, 0, 1 and 9. We call "imbalance" the quantity of unused digit in one (or more) opened box(es). So, writing 2019 leaves an imbalance of 6 (the 6 unused digits in the box).
Now, if we want to write 2020 we must open two boxes (...)
The question: "Is S infinite?" is explained there, on my personal blog page: http://cinquantesignes.blogspot.com/2020/02/integer-imbalance.html Best, É.
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Eric and Tom, They may be base dependent, but aren't we all! I created A332550 and A332551 for IM and S, but I only did enough to get the balls rolling. Maybe one of you could add more terms, programs, comments, b-files ... Eric, The latest issue of the TLS (Feb 14) has reviews of 4 or 5 new books in English about Oulipo (which is another reason I like those two sequences, they seem oulipoan to me, like many of your creations). Tell me, were you ever, or are you now, a card-carrying member of that group?! Somehow I thought there was a connection, but maybe I mis-remember. Best regards Neil Neil J. A. Sloane, President, OEIS Foundation. 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com On Thu, Feb 20, 2020 at 7:56 PM Éric Angelini <eric.angelini@skynet.be> wrote:
Many thanks and bravo Tom! Best, É.
Le 21 févr. 2020 à 01:50, Tom Duff <td@pixar.com> a écrit :
At step 65,577,857 we reach 1,023,456,798, whose IM is zero, and the sequence is constant thereafter.
On Thu, Feb 20, 2020 at 2:59 PM Éric Angelini <bk263401@skynet.be> wrote:
Hello Math-Fun, In this country, digits go by closed boxes containing 10 distinct digits each. To write the number 2019 you can open a single box and extract the digits 2, 0, 1 and 9. We call "imbalance" the quantity of unused digit in one (or more) opened box(es). So, writing 2019 leaves an imbalance of 6 (the 6 unused digits in the box).
Now, if we want to write 2020 we must open two boxes (...)
The question: "Is S infinite?" is explained there, on my personal blog page: http://cinquantesignes.blogspot.com/2020/02/integer-imbalance.html Best, É.
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participants (4)
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Neil Sloane -
Tom Duff -
Éric Angelini -
Éric Angelini