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.

Showing 1-9 of 9 results.

A071420 Duplicate of A031139.

Original entry on oeis.org

7, 8, 5, 5, 3, 4, 4, 6, 9, 7, 8, 8, 7, 8, 5, 5, 3, 4, 4, 6, 9, 7, 8, 8, 7, 8, 5, 5, 3, 4, 4, 6, 9
Offset: 1

Views

Author

Keywords

A161376 Number of letters in Spanish words for months of the year.

Original entry on oeis.org

5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9, 5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9, 5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9, 5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9, 5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9, 5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9, 5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9
Offset: 1

Views

Author

Claudio Meller, Jun 08 2009

Keywords

Comments

Enero = 5 letters; Febrero = 7; Marzo = 5; Abril = 5; Mayo = 4; Junio = 5; Julio = 5; Agosto = 6; Septiembre = 10; Octubre = 7; Noviembre = 9; Diciembre = 9.
Period 12: repeat [5, 7, 5, 5, 4, 5, 5, 6, 10, 7, 9, 9].

Links

Crossrefs

Cf. A031139, A182495.

Formula

From Elmo R. Oliveira, Jul 18 2024: (Start)
G.f.: x*(5 + 7*x + 5*x^2 + 5*x^3 + 4*x^4 + 5*x^5 + 5*x^6 + 6*x^7 + 10*x^8 + 7*x^9 + 9*x^10 + 9*x^11)/(1 - x^12).
a(n) = a(n-12) for n > 12. (End)

Extensions

a(37)-a(84) from Elmo R. Oliveira, Jul 18 2024

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.)

Original entry on oeis.org

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

Views

Author

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

Keywords

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

Examples

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

References

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

Links

Crossrefs

Cf. A031189, A031139, A075774.

Programs

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

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

Extensions

Thanks to Ray Chandler for supplying the explanation for this sequence.
Edited by M. F. Hasler, Feb 25 2018

A182495 Number of letters in Turkish words for months of year.

Original entry on oeis.org

4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6, 4, 5, 4
Offset: 1

Views

Author

Hasan Yurtoglu, May 02 2012

Keywords

Comments

Period 12: repeat [4, 5, 4, 5, 5, 7, 6, 7, 5, 4, 5, 6].
In Turkish, the months are "Ocak", "Subat", "Mart", "Nisan", "Mayis", "Haziran", "Temmuz", "Agustos", "Eylul", "Ekim", "Kasim", "Aralik" beginning from January.

Examples

			a(1) = 4 since January in Turkish is "Ocak" which has four letters.

Links

Crossrefs

Cf. A031139, A103742, A161376.

Formula

From Elmo R. Oliveira, Jul 20 2024: (Start)
G.f.: x*(4 + 5*x + 4*x^2 + 5*x^3 + 5*x^4 + 7*x^5 + 6*x^6 + 7*x^7 + 5*x^8 + 4*x^9 + 5*x^10 + 6*x^11)/(1 - x^12).
a(n) = a(n-12) for n > 12. (End)

A209924 Concatenation of the months' names spelled in English, with 1=A, 2=B,..., 26=Z.

Original entry on oeis.org

10, 1, 14, 21, 1, 18, 25, 6, 5, 2, 18, 21, 1, 18, 25, 13, 1, 18, 3, 8, 1, 16, 18, 9, 12, 13, 1, 25, 10, 21, 14, 5, 10, 21, 12, 25, 1, 21, 7, 21, 19, 20, 19, 5, 16, 20, 5, 13, 2, 5, 18, 15, 3, 20, 15, 2, 5, 18, 14, 15, 22, 5, 13, 2, 5, 18, 4, 5, 3, 5, 13, 2, 5, 18
Offset: 1

Views

Author

M. F. Hasler, Mar 15 2012

Keywords

Crossrefs

Cf. A209926 (same for French), A209927 (same for German).
Cf. A031139, A049004, A033986, A089746, A049005, A069195, A103742, A134456, A161376.

Programs

  • Mathematica
    LetterNumber/@Table[DateString[{2024,m,1},"MonthName"],{m,12}]//Flatten (* Harvey P. Dale, Jul 28 2024 *)
  • PARI
    Vec( Vecsmall( "JanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember" ))%32

A115100 Mayan calendar periods in days.

Original entry on oeis.org

1, 20, 360, 7200, 144000, 1872000
Offset: 1

Views

Author

Jonathan Vos Post, Mar 02 2006

Keywords

Comments

"Mayan primes" may be defined as these periods plus or minus 1, namely: 2, 19, 359, 143999, 1872001. Note also that 361 = 19^2; 144001 = 11 * 13 * 19 * 53.
From the Hermetic Systems" link: "The Mayas used three different calendrical systems (and some variations within the systems). The three systems are known as the tzolkin (the sacred calendar), the haab (the civil calendar) and the long count system. The tzolkin is a cycle of 260 days and the haab is a cycle of 365 days (these cycles are explained in Sections 2 and 3 of this chapter). The tzolkin cycle and the haab cycle were combined to produce a cycle of 18,980 days, known as the calendar round. 18,980 days is a little less than 52 solar years.
"Thus the Mayas could not simply use a tzolkin/haab date to identify a day within a period of several hundred years because there would be several days within this period with the same tzolkin/haab date. The Mayas overcame this problem by using a third dating system which enabled them to identify a day uniquely within a period of 1,872,000 days (approximately 5,125.36 solar years).
"To do this they used a vigesimal (i.e. based on 20) place-value number system, analogous to our decimal place-value number system. The Mayas used a pure vigesimal system for counting objects but modified this when counting days."

Examples

			1 kin = 1 day.
1 uinal = 20 kins = 20 days.
1 tun = 18 uinals = 360 days.
1 katun = 20 tuns = 7200 days.
1 baktun = 20 katuns = 144000 days.
13 baktuns = 1 great cycle or Maya era = 1872000 days (approximately 5125.37 solar years).

References

  • Bourgeois, Julia F., The True Calendar-Years of Aztecs and Mayas and the True Mayan Calendar System, Editorial Cultura, Mexico, 1942.
  • Bowditch, C. P., The Numeration, Calendar Systems and Astronomical Knowledge of the Mayas, Cambridge University Press, 1910.
  • Brunhouse, R. L., Sylvanus G. Morley and the World of the Ancient Mayas, University of Oklahoma Press, 1971.

Links

Crossrefs

Cf. A008684, A008685, A011763, A011770, A011771.
Fortnight related: A001356, A051121.
Related to names of months: A031139.
A subsequence of A081244.

Extensions

Edited by M. F. Hasler, Dec 23 2012

A209925 ASCII encoded concatenation of the months' names, spelled in English.

Original entry on oeis.org

74, 97, 110, 117, 97, 114, 121, 70, 101, 98, 114, 117, 97, 114, 121, 77, 97, 114, 99, 104, 65, 112, 114, 105, 108, 77, 97, 121, 74, 117, 110, 101, 74, 117, 108, 121, 65, 117, 103, 117, 115, 116, 83, 101, 112, 116, 101, 109, 98, 101, 114, 79, 99, 116, 111, 98, 101, 114, 78, 111, 118, 101, 109, 98, 101, 114, 68, 101, 99, 101, 109, 98, 101, 114
Offset: 1

Views

Author

M. F. Hasler, Mar 15 2012

Keywords

Crossrefs

Cf. A031139, A049004, A033986, A089746, A049005, A069195, A103742, A134456, A161376.

Programs

  • PARI
    Vecsmall("JanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecember")

Formula

A209924 = A209925 (mod 32).

A209926 Concatenation of the months' names, spelled in French, with 'a'=1, ..., 'z'=26 (ignoring accents).

Original entry on oeis.org

10, 1, 14, 22, 9, 5, 18, 6, 5, 22, 18, 9, 5, 18, 13, 1, 18, 19, 1, 22, 18, 9, 12, 13, 1, 9, 10, 21, 9, 14, 10, 21, 9, 12, 12, 5, 20, 1, 15, 21, 20, 19, 5, 16, 20, 5, 13, 2, 18, 5, 15, 3, 20, 15, 2, 18, 5, 14, 15, 22, 5, 13, 2, 18, 5, 4, 5, 3, 5, 13, 2, 18, 5
Offset: 1

Views

Author

M. F. Hasler, Mar 15 2012

Keywords

Crossrefs

Cf. A209924 (same for English), A209927 (same for German).
Cf. A031139, A049004, A033986, A089746, A049005, A069195, A103742, A134456, A161376.

Programs

  • PARI
    Vec( Vecsmall( "janvierfevriermarsavrilmaijuinjuilletaoutseptembreoctobrenovembredecembre" ))%32

A192409 Number of letters in the English name of the n-th element in the periodic table of the elements.

Original entry on oeis.org

8, 6, 7, 9, 5, 6, 8, 6, 8, 4, 6, 9, 9, 7, 10, 6, 8, 5, 9, 7, 8, 8, 8, 8, 9, 4, 6, 6, 6, 4, 7, 9, 7, 8, 7, 7, 8, 9, 7, 9, 7, 10, 10, 9, 7, 9, 6, 7, 6, 3, 8, 9, 6, 5, 7, 6, 9, 6, 12, 9, 10, 8, 8, 10, 7, 10, 7, 6, 7, 9, 8, 7, 8, 8, 7, 6, 7, 8, 4, 7, 8, 4, 7, 8, 8, 5, 8, 6, 8, 7, 12, 7, 9, 9, 9, 6, 9, 11, 11, 7, 11, 8, 10, 13, 7, 10, 7, 7, 10, 12, 11, 11, 8, 9, 9, 11, 10, 9
Offset: 1

Views

Author

Kausthub Gudipati, Jun 30 2011

Keywords

Comments

The names are based on the IUPAC Inorganic Chemistry Division table.
The sequence appears to be not very well defined, concerning the terms (names can change) and number of terms (in June/November 2016 four new names were given to elements number 113, 115, 117 and 118). - M. F. Hasler, Jan 24 2020
The names my change, certainly, but at any given time the sequence is defined by the names in the IUPAC Inorganic Chemistry Division table. - N. J. A. Sloane, Jan 25 2020

Examples

			a(1) = 8, because HYDROGEN uses 8 letters.
a(2) = 6, because HELIUM uses 6 letters.
a(3) = 7, because LITHIUM uses 7 letters.
and so on. Note that a(13) = 9, not 8, since the IUPAC spellings are used.

Links

Crossrefs

See A007656 for the atomic weights.
Cf. A005589 (letters in name of n), A070273 (letters in names of the planets), A031139 (letters in names of months), A309750 (variant: in alphabetical order).

Programs

  • Mathematica
    Length @ Characters @ ElementData[#, "Name"] & /@ Range[118] (* Amiram Eldar, Jan 25 2020, generates all the terms in the data section with two exceptions: a(13) assumes the name "Aluminum" instead of "Aluminium" and a(55) assumes the name "Cesium" instead of "Caesium" *)

Extensions

a(7), a(32), a(35) corrected and a(51)-a(118) added by Andrew Howroyd, Jan 24 2020
Showing 1-9 of 9 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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