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 1-5 of 5 results.

A247361 Interleave A000861\{0} and A247359: positive numbers with English name ending in a vowel resp. consonant.

Original entry on oeis.org

1, 4, 2, 6, 3, 7, 5, 8, 9, 10, 12, 11, 21, 13, 22, 14, 23, 15, 25, 16, 29, 17, 31, 18, 32, 19, 33, 20, 35, 24, 39, 26, 41, 27, 42, 28, 43, 30, 45, 34, 49, 36, 51, 37, 52, 38, 53, 40, 55, 44, 59, 46, 61, 47, 62, 48, 63, 50, 65, 54, 69, 56, 71, 57, 72, 58, 73, 60, 75, 64, 79, 66, 81, 67, 82, 68, 83, 70, 85, 74, 89, 76, 91, 77, 92, 78, 93, 80, 95, 84, 99
Offset: 1

Views

Author

M. F. Hasler, Sep 14 2014

Keywords

Comments

A permutation of the positive integers.
See A247362 for a variant defined on the nonnegative integers.

Examples

			Every other term is taken from the set A000861 \ {0} = {onE, twO, threE, fivE, ninE, twelvE, ...} resp. from A247359 = {fouR, siX, seveN, eighT, teN, eleveN, ...}

Crossrefs

Cf. A000861, A247359, A247362.

Formula

a(2n)=A247362(2n-1), a(2n-1) = A247362(2n).

A247362 Interleave A000861 and A247359, numbers ending in a vowel resp. consonant in English.

Original entry on oeis.org

0, 4, 1, 6, 2, 7, 3, 8, 5, 10, 9, 11, 12, 13, 21, 14, 22, 15, 23, 16, 25, 17, 29, 18, 31, 19, 32, 20, 33, 24, 35, 26, 39, 27, 41, 28, 42, 30, 43, 34, 45, 36, 49, 37, 51, 38, 52, 40, 53, 44, 55, 46, 59, 47, 61, 48, 62, 50, 63, 54, 65, 56, 69, 57, 71, 58, 72
Offset: 0

Views

Author

M. F. Hasler, Sep 14 2014

Keywords

Comments

A permutation of the nonnegative integers.
See A247361 for the analog permutation of the positive integers, starting with a(1)=1.

Crossrefs

Cf. A152592, A059437.

A000861 Numbers ending with a vowel in American English.

Original entry on oeis.org

0, 1, 2, 3, 5, 9, 12, 21, 22, 23, 25, 29, 31, 32, 33, 35, 39, 41, 42, 43, 45, 49, 51, 52, 53, 55, 59, 61, 62, 63, 65, 69, 71, 72, 73, 75, 79, 81, 82, 83, 85, 89, 91, 92, 93, 95, 99, 101, 102, 103, 105, 109, 112, 121, 122, 123, 125, 129, 131, 132, 133, 135, 139, 141, 142
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

The German name of n ends in a vowel iff n==2 or n==3 (mod 100), so the German analog of this sequence would be {2, 3, 102, 103, 202, 203, ...}. - M. F. Hasler, Sep 20 2014

Links

Crossrefs

Cf. A247359 (complement), A152592 (characteristic fct of the complement), A059437 (a variant of the latter: vowels or "y").
Cf. A247361 (French analog) and A247360 (complement).

Programs

  • PARI
    print1(0",");for(n=1,3,for(k=10^(n-1),10^n-1,m100=k%100;m10=k%10;if(m100==12 || ((m100>20 || m100<10) && ((m10==1)||(m10==2)||(m10==3)||(m10==5)||(m10==9))),print1(k",")))) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 20 2006
  • PARI
    is(n,S=[1,2,3,5,9,12])=setsearch(S,if(n%100>19,n%10,n%100))||!n \\ Add 0 in S (and optionally remove trailing ||...) for the A059437 variant. Add "Set()" around [...] for PARI versions < 2.6. - M. F. Hasler, Sep 14 2014

Formula

From Chai Wah Wu, Apr 18 2024: (Start)
a(n) = a(n-1) + a(n-46) - a(n-47) for n > 48.
G.f.: x^2*(x^46 + 4*x^45 + 2*x^44 + x^43 + x^42 + 2*x^41 + 4*x^40 + 2*x^39 + x^38 + x^37 + 2*x^36 + 4*x^35 + 2*x^34 + x^33 + x^32 + 2*x^31 + 4*x^30 + 2*x^29 + x^28 + x^27 + 2*x^26 + 4*x^25 + 2*x^24 + x^23 + x^22 + 2*x^21 + 4*x^20 + 2*x^19 + x^18 + x^17 + 2*x^16 + 4*x^15 + 2*x^14 + x^13 + x^12 + 2*x^11 + 4*x^10 + 2*x^9 + x^8 + x^7 + 9*x^6 + 3*x^5 + 4*x^4 + 2*x^3 + x^2 + x + 1)/(x^47 - x^46 - x + 1). (End)

Extensions

Corrected by Logan K. Young (lkyfella(AT)yahoo.com), Mar 19 2005
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 20 2006

A098060 Numbers whose French names end in a vowel.

Original entry on oeis.org

0, 4, 11, 12, 13, 14, 15, 16, 24, 30, 34, 40, 44, 50, 54, 60, 64, 71, 72, 73, 74, 75, 76, 84, 91, 92, 93, 94, 95, 96, 104, 111, 112, 113, 114, 115, 116, 124, 130, 134, 140, 144, 150, 154, 160, 164, 171, 172, 173, 174, 175, 176, 184, 191, 192, 193, 194, 195, 196
Offset: 1

Views

Author

Axel Harvey, Oct 24 2004

Keywords

Comments

Note that the sequence is for France. Different sequences would be obtained in Belgium and in Switzerland. - Michel Marcus, Aug 20 2013

Examples

			The sequence begins with 0 and 4 because 0,1,2,3,4... are: zero, un, deux, trois, quatre, ....
The French name of the first terms are: zerO, quatrE, onzE, douzE, treizE, quatorzE, quinzE, seizE, vingt-quatrE, trentE, ... soixantE, soixante-quatrE, soixante-et-onzE, ... The complement of this sequence lists: uN, deuX, troiS, cinQ, siX, sepT, huiT, neuF, diX, dix-sepT, dix-huiT, dix-neuF, vingT, vingt-et-uN, ..., soixante-diX, soixante-dix-sepT, ... - _M. F. Hasler_, Sep 15 2014

Crossrefs

Cf. A000861, A079741, A247359, A247360.

A247360 Numbers with French name ending in a consonant.

Original entry on oeis.org

1, 2, 3, 5, 6, 7, 8, 9, 10, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 35, 36, 37, 38, 39, 41, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 65, 66, 67, 68, 69, 70, 77, 78, 79, 80, 81, 82, 83, 85, 86, 87, 88, 89
Offset: 1

Views

Author

M. F. Hasler, Sep 14 2014

Keywords

Comments

Complement of A098060.

Examples

			The French name of the first terms are: uN, deuX, troiS, cinQ, siX, sepT, huiT, neuF, diX, dix-sepT, dix-huiT, dix-neuF, vingT, vingt-et-uN, ..., soixante-diX, soixante-dix-sepT, ...
Numbers not included are: zerO, quatrE, onzE, douzE, treizE, quatorzE, quinzE, seizE, vingt-quatrE, trentE, ... soixantE, soixante-quatrE, soixante-et-onzE, ...

Crossrefs

Cf. A247359, A000861 (English analog).
Showing 1-5 of 5 results.

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

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