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A089746 Period 12: repeat (4, 4, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3). (Number of syllables in English name of the months.)

%I A089746 #35 Dec 14 2023 05:15:43
%S A089746 4,4,1,2,1,1,2,2,3,3,3,3,4,4,1,2,1,1,2,2,3,3,3,3,4,4,1,2,1,1,2,2,3,3,
%T A089746 3,3,4,4,1,2,1,1,2,2,3,3,3,3,4,4,1,2,1,1,2,2,3,3,3,3,4,4,1,2,1,1,2,2,
%U A089746 3,3,3,3,4,4,1,2,1,1,2,2,3,3,3,3,4,4,1,2,1,1,2,2,3,3,3,3
%N A089746 Period 12: repeat (4, 4, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3). (Number of syllables in English name of the months.)
%C A089746 Original definition: Number of syllables in English name of n-th month, with comment: Period 12.
%C A089746 The original definition corresponds to the finite subsequence a(1)..a(12). There is no 13th month of the year. If "of the year" is omitted on purpose, there's no reason that the 1st month be January: the first day of the currently used Gregorian calendar was October 15, 1582, so the 1st month should be October. Originally the first month was March (whence the names September, ..., December for the 7th, ..., 10th month) and January was the 11th month. - _M. F. Hasler_, Feb 25 2018
%D A089746 Marilyn vos Savant (marilyn(AT)parade.com), column in Parade magazine, 2003.
%H A089746 <a href="/index/Ca#calendar">Index entries for sequences related to calendars</a>
%H A089746 <a href="/index/Periodic#12">Index entries for 12-periodic sequences</a>
%H A089746 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,1).
%F A089746 G.f.: x*(-3*x^11 - 3*x^10 - 3*x^9 - 3*x^8 - 2*x^7 - 2*x^6 - x^5 - x^4 - 2*x^3 - x^2 - 4*x - 4)/(x^12 - 1). - _Chai Wah Wu_, Feb 16 2021
%e A089746 For example, January is pronounced with four syllables: Jan-u-ar-y.
%o A089746 (PARI) a(n)=digits(344121122333)[n%12+1] \\ _M. F. Hasler_, Feb 25 2018
%Y A089746 Cf. A031189, A031139, A075774.
%K A089746 nonn,word
%O A089746 1,1
%A A089746 Drexel Hallaway (drexel(AT)cs.columbia.edu), Jan 08 2004
%E A089746 Thanks to _Ray Chandler_ for supplying the explanation for this sequence.
%E A089746 Edited by _M. F. Hasler_, Feb 25 2018