A005224 -id:A005224 - cp's OEIS frontend

A284744 Terms in Aronson's sequence (A005224) whose English ordinals do not contain the letter t.

902, 1000402, 4000102, 5000102, 5000702, 6000902, 7000002, 104000102, 105000102, 105000902, 106000602, 109000002, 401000002, 405000402, 405000702, 405000902, 406000602, 407000502, 500000102, 500000402

Offset: 1

Hans Havermann, Apr 01 2017

The word "thousand", the -th suffix, the -st suffix, and the word "third" all contain the letter t, so all terms with at least 4 digits have the last 6 digits 000X02 where X is not 2, 3, or 8. - J. Lowell, Apr 24 2023

			a(1) is 902 because 902 is the smallest term in A005224 whose ordinal (nine hundred second) contains no t.

Hans Havermann, Table of n, a(n) for n = 1..308

Cf. A005224, A072956.

A081023 Sequence based on wholly inaccurate version of Aronson's sentence (cf. A005224): "T is the second, third, fifth, sixth, seventh . . . letter of this sentence, not counting commas or spaces", where the sentence indicates exactly those letters that are not "T"s.

Original entry on oeis.org

2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 40, 41, 42, 43, 45, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 60, 61, 62, 63, 65, 66, 67, 68, 69, 71, 72, 73, 75

Offset: 1

Matthew Vandermast, Mar 02 2003

			The letters indicated in the sentence are actually "i," "s," "h," "e," "s," "e" ... and comprise all and only those letters that are not "t."

B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.
B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)

Complement of sequence A081024.

A055508 H is the first, fifth, sixteenth, ..., letter in the sequence not counting spaces and commas.

Original entry on oeis.org

1, 5, 16, 25, 36, 38, 47, 49, 57, 59, 71, 81, 93, 103, 119, 134, 141, 149, 156, 172, 176, 184, 194, 198, 218, 234, 238, 254, 258, 281, 299, 303, 313, 321, 325, 343, 347, 363, 365, 369, 379, 385, 389, 397, 407, 411, 419, 427, 429, 433, 450, 454, 469, 471, 475

Offset: 1

Robert G. Wilson v, Jun 29 2000

Along with the letters "T" and "I", this completes the series, i.e. no other letters in the alphabet can substain a sequence with such a definition.

Cf. A005224 and A049525.

A049525 I is the first, second, eighth, ... letter in this sentence not counting spaces or commas.

Original entry on oeis.org

1, 2, 8, 19, 25, 41, 51, 56, 61, 66, 71, 76, 81, 86, 91, 103, 115, 120, 126, 131, 137, 142, 148, 164, 178, 201, 222, 238, 243, 259, 307, 323, 351, 367, 405, 410, 432, 446, 451, 494, 510, 515, 532, 555, 588, 615, 631, 636, 652, 664, 680, 691, 700, 712, 723, 734

Offset: 1

J. Lowell

			The sentence begins:
1234567890 1234567890 1234567890 1234567890 1234567890
Iisthefirs tsecondeig hthninetee nthtwentyf ifthfortyf
irstfiftyf irstfiftys ixthsixtyf irstsixtys ixthsevent
yfirstseve ntysixthei ghtyfirste ightysixth ninetyfirs
tonehundre dthirdoneh undredfift eenthonehu ndredtwent
iethonehun dredtwenty sixthonehu ndredthirt yfirstoneh
undredthir tyseventho nehundredf ortysecond onehundred ...

Cf. A005224, A055508.

seed="iisthe";s[1]=1;s[2]=2; name[n_]:=
StringReplace[IntegerName[n,{"English","Ordinal"}],{"-"->""," "->""}];
s[n_]:=seed=StringJoin[seed<>name[StringPosition[seed,"i"][[n-2,1]]]];
l=s/@Range[56]; Table[StringPosition[Last[l],"i"][[k,1]],{k,1,Length[l]}]
(* Ivan N. Ianakiev, Apr 02 2022 *)

from num2words import num2words
from itertools import islice
def n2w(n):
    os = num2words(n, ordinal=True).replace(" and", "")
    return os.replace(" ", "").replace("-", "").replace(chr(44), "")
def agen(): # generator of terms
    s, idx = "iisthe", 0
    while True:
        idx_rel = 1 + s.index("i")
        idx += idx_rel
        yield idx
        s = s[idx_rel:] + n2w(idx)
print(list(islice(agen(), 56))) # Michael S. Branicky, Apr 02 2022

More terms from Robert G. Wilson v, Jul 18 2000

Corrected and extended by Larry Reeves (larryr(AT)acm.org), Nov 02 2000

A080517 T is the first, third, eighth, ninth, fifteenth, nineteenth, ... consonant in this sentence.

Original entry on oeis.org

1, 3, 8, 9, 15, 19, 23, 25, 29, 31, 33, 36, 37, 41, 44, 47, 49, 52, 55, 57, 60, 64, 65, 68, 69, 73, 76, 79, 81, 84, 88, 92, 96, 99, 102, 106, 110, 114, 117, 121, 128, 131, 135, 139, 143, 144, 148, 151, 155, 158, 162, 165, 169, 172, 177, 178, 185, 188, 193, 196, 200, 204, 207, 210, 214, 217, 221, 228, 231

Offset: 1

Benoit Cloitre, Mar 21 2003

'y' is always a vowel in numeric words.

Cf. Aronson's sequence A005224, A080518-A080520.

Corrected and extended by Don Reble, Mar 30 2003

A080518 The third, sixth, tenth, fifteenth, ... letters in this sentence are vowels (ignoring spaces and commas).

Original entry on oeis.org

3, 6, 10, 15, 20, 23, 24, 30, 33, 34, 39, 42, 45, 50, 53, 55, 56, 62, 65, 66, 71, 74, 77, 82, 85, 87, 88, 94, 97, 99, 104, 107, 109, 111, 115, 118, 120, 125, 128, 129, 133, 136, 139, 143, 146, 148, 153, 156, 158, 163, 166, 168, 170, 174, 177, 179, 184, 187, 189, 194

Offset: 1

N. J. A. Sloane, based on a suggestion of Benoit Cloitre, Mar 31 2003

The third, sixth, tenth, fifteenth, twentieth, twenty-third, twenty-fourth, thirtieth, thirty-third, thirty-fourth, thirty-ninth, forty-second, forty-fifth, fiftieth, fifty-third, fifty-fifth, fifty-sixth, sixty-second, sixty-fifth, sixty-sixth, seventy-first, seventy-fourth, ... letters in this sentence are vowels. - Don Reble, Apr 01 2003

Cf. Aronson's sequence A005224, A080517-A080520, A050481.

More terms from Don Reble, Apr 01 2003

A080520 Positions of the letter e (or è) in the French phrase enumerating these positions, "E est la première, deuxième, neuvième, douzième, quatorzième, seizième, ... lettre dans cette phrase, où les espaces, les virgules et les traits d'union ne comptent pas.".

Original entry on oeis.org

1, 2, 9, 12, 14, 16, 20, 22, 24, 28, 30, 36, 38, 47, 49, 51, 55, 57, 64, 66, 73, 77, 79, 91, 93, 104, 106, 109, 113, 115, 118, 121, 126, 128, 131, 134, 140, 142, 150, 152, 156, 158, 166, 168, 172, 174, 183, 184, 189, 191, 200, 207, 209, 218, 220, 224, 226, 234, 241

Offset: 1

N. J. A. Sloane, Mar 21 2003

			. 0123456789
0 .Eestlapre
1 mieredeuxi
2 emeneuviem
3 edouziemeq
4 uatorzieme
5 seiziemevi
6 ngtiemevin
7 gtdeuxieme

Cf. Aronson's sequence A005224, A080517, A080518, A080519.

Corrected and extended by R. J. Mathar, Oct 01 2006

More terms from Charles R Greathouse IV, Sep 26 2008

A097395 Values of ordinal numbers in the following true sentence: "The twentieth, eighth, fifth ... letters of the English alphabet appear in this sentence, in order.".

Original entry on oeis.org

20, 8, 5, 20, 23, 5, 14, 20, 9, 5, 20, 8, 5, 9, 7, 8, 20, 8, 6, 9, 6, 20, 8, 20, 23, 5, 14, 20, 9, 5, 20, 8, 20, 23, 5, 14, 20, 25, 20, 8, 9, 18, 4, 6, 9, 6, 20, 8, 6, 15, 21, 18, 20, 5, 5, 14, 20, 8, 20, 23, 5, 14, 20, 9, 5, 20, 8, 14, 9, 14, 20, 5, 6, 9, 6, 20, 8, 20, 23, 5, 14, 20, 9, 5, 20

Offset: 1

Matthew Vandermast, Aug 13 2004

Probably the most basic A097390-like sequence possible.

Cf. A005224, A097389, A097390, A096828, A096829.

A014367 Aronson's sequence in French: m est la premiere, la dixieme ... lettre de cette phrase.

Original entry on oeis.org

1, 10, 22, 37, 53, 73, 94, 116, 130, 145, 168, 190, 214, 235, 260, 280, 306, 324, 349, 376, 403, 424, 450, 474, 505, 524, 548, 575

Offset: 1

Olivier Gérard

Cf. A005224.

A072886 The s-aints, numbers generated like the Aronson series from a generating sentence, "S ain't the second, third, fourth, fifth . . . letter of this sentence.".

Original entry on oeis.org

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75

Offset: 1

Michael Joseph Halm, Jul 28 2002

The discovery of the s-ain'ts was inspired by the mention of the Aronson series in Douglas R. Hofstadter's Metamathematical Themas.

			a(1)= 2 because the first letter in the generating sentence that ain't s is the second one, a.

M. J. Halm, When the S-ain'ts ..., Mpossibilities 61, pp. 1-2 (1996)

M. J. Halm, neologisms

Cf. A005224, A072887.

In blocks of 10 letters: saintthese condthirdf ourthfifth sixthseven theighthte nthelevent htwelfthth irteenthfo urteenthfi fteenthsix teenthseve nteentheig hteenthnin ...

cp's OEIS Frontend

A284744 Terms in Aronson's sequence (A005224) whose English ordinals do not contain the letter t.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A081023 Sequence based on wholly inaccurate version of Aronson's sentence (cf. A005224): "T is the second, third, fifth, sixth, seventh . . . letter of this sentence, not counting commas or spaces", where the sentence indicates exactly those letters that are not "T"s.

Views

Author

Keywords

Examples

Links

Crossrefs

A055508 H is the first, fifth, sixteenth, ..., letter in the sequence not counting spaces and commas.

Views

Author

Keywords

Comments

Crossrefs

A049525 I is the first, second, eighth, ... letter in this sentence not counting spaces or commas.

Views

Author

Keywords

Examples

Crossrefs

Programs

Mathematica

Python

Extensions

A080517 T is the first, third, eighth, ninth, fifteenth, nineteenth, ... consonant in this sentence.

Views

Author

Keywords

Comments

Crossrefs

Extensions

A080518 The third, sixth, tenth, fifteenth, ... letters in this sentence are vowels (ignoring spaces and commas).

Views

Author

Keywords

Comments

Crossrefs

Extensions

A080520 Positions of the letter e (or è) in the French phrase enumerating these positions, "E est la première, deuxième, neuvième, douzième, quatorzième, seizième, ... lettre dans cette phrase, où les espaces, les virgules et les traits d'union ne comptent pas.".

Views

Author

Keywords

Examples

Crossrefs

Extensions

A097395 Values of ordinal numbers in the following true sentence: "The twentieth, eighth, fifth ... letters of the English alphabet appear in this sentence, in order.".

Views

Author

Keywords

Comments

Crossrefs

A014367 Aronson's sequence in French: m est la premiere, la dixieme ... lettre de cette phrase.

Views

Author

Keywords

Crossrefs

A072886 The s-aints, numbers generated like the Aronson series from a generating sentence, "S ain't the second, third, fourth, fifth . . . letter of this sentence.".

Views

Author

Keywords

Comments

Examples

References

Links

Crossrefs

Formula