

A089746


Period 12: repeat (4, 4, 1, 2, 1, 1, 2, 2, 3, 3, 3, 3).


4



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
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OFFSET

1,1


COMMENTS

Original definition: Number of syllables in English name of nth 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, and if "of the year" is omitted on purpose, then there's no reason that the 1st month be January: the first day of the currently used Gregorian calendar was October 15, 1582, so month 1 of our current calendar rather was October. Traditionally the first month was March, whence the names September, ..., December for the 7th, ..., 10th month, January thus being the 11th.)  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 12periodic sequences


FORMULA

a(n) = (1/792)*(37*(n mod 12) + 29*((n+1) mod 12) + 29*((n+2) mod 12) + 29*((n+3) mod 12)  37*((n+4) mod 12) + 29*((n+5) mod 12)  37*((n+6) mod 12) + 29*((n+7) mod 12) + 95*((n+8) mod 12)  37*((n+9) mod 12) + 227*((n+10) mod 12) + 29*((n+11) mod 12)), with n >= 0.  Paolo P. Lava, Oct 22 2008


EXAMPLE

For example, January is pronounced with four syllables: January.


PROG

(PARI) a(n, s=[3, 4, 4, 1, 2, 1, 1, 2, 2, 3, 3, 3])=s[n%12+1] \\ M. F. Hasler, Feb 25 2018


CROSSREFS

Cf. A031189, A031139, A075774.
Sequence in context: A155194 A080044 A128433 * A225330 A094884 A281540
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



