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.)

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, 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, 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

Offset

1,1

Comments

Original definition: Number of syllables in English name of n-th month, with comment: Period 12.

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

References

Marilyn vos Savant (marilyn(AT)parade.com), column in Parade magazine, 2003.

Links

Table of n, a(n) for n=1..96.

Index entries for sequences related to calendars

Index entries for 12-periodic sequences

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,1).

Formula

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

Example

For example, January is pronounced with four syllables: Jan-u-ar-y.

Prog

(PARI) a(n)=digits(344121122333)[n%12+1] \\ M. F. Hasler, Feb 25 2018

Crossrefs

Cf. A031189, A031139, A075774.

Sequence in context: A155194 A080044 A128433 * A225330 A094884 A359532

Adjacent sequences: A089743 A089744 A089745 * A089747 A089748 A089749

Keyword

nonn,word

Author

Drexel Hallaway (drexel(AT)cs.columbia.edu), Jan 08 2004

Extensions

Thanks to Ray Chandler for supplying the explanation for this sequence.

Edited by M. F. Hasler, Feb 25 2018

Status

approved