cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A348758 Times on a 12-hour digital clock with 6 digits at which the angle of the sector enclosing the three continuously moving hands of an analog clock has a local minimum.

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%I A348758 #18 Jan 07 2025 10:04:22
%S A348758 0,10505,21111,31616,42122,52727,63233,73838,84344,94849,105455,120000
%N A348758 Times on a 12-hour digital clock with 6 digits at which the angle of the sector enclosing the three continuously moving hands of an analog clock has a local minimum.
%C A348758 The inclusion of the second hand leads to solutions differing from those of A120500. Apart from the perfect match at midnight or noon, the other minima are characterized by small angles > 0 between the hour and the minute hands and a coincidence of the second hand with one of the other two hands. It turns out that the coincidence of the minute and second hands never leads to the smaller angle value. The exact times in seconds are given by A348759, with rounding to nearest second applied to determine the terms of this sequence.
%F A348758 a(n) = round(A348759(n)*43200/719) seconds since 00:00:00, expressed as hhmmss. - _Robert B Fowler_, Jan 05 2023
%e A348758 See A348759.
%o A348758 (PARI) vector(12, i, my(t=((i-1)*719\/11)*43200\/719); t\3600*10000 + t%3600\60*100 + t%60) \\ _Ruud H.G. van Tol_, Jan 07 2025
%Y A348758 Cf. A120500, A347040, A348759.
%K A348758 nonn,base,fini,full
%O A348758 1,2
%A A348758 _Hugo Pfoertner_, Oct 31 2021