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.

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A097390 Values of ordinal numbers in the following true sentence: "This sentence contains the twentieth, eighth, ninth, nineteenth ... letters of the English alphabet, in order.".

Original entry on oeis.org

20, 8, 9, 19, 19, 5, 14, 20, 5, 14, 3, 5, 3, 15, 14, 20, 1, 9, 14, 19, 20, 8, 5, 20, 23, 5, 14, 20, 9, 5, 20, 8, 5, 9, 7, 8, 20, 8, 14, 9, 14, 20, 8, 14, 9, 14, 5, 20, 5, 5, 14, 20, 8, 14, 9, 14, 5, 20, 5, 5, 14, 20, 8, 6, 9, 6, 20, 8, 6, 15, 21, 18, 20, 5, 5, 14, 20, 8, 20, 23, 5, 14, 20, 9
Offset: 1

Views

Author

Matthew Vandermast, Aug 13 2004

Keywords

Crossrefs

See A097395 for a more basic version of this sequence.

A081024 Complement of A081023: actual locations of "t" in this wholly inaccurate variation of the Aronson sentence: "T is the second, third, fifth, sixth, seventh . . . letter of this sentence, not counting commas or spaces".

Original entry on oeis.org

1, 4, 13, 21, 26, 33, 39, 44, 46, 49, 57, 59, 64, 70, 74, 79, 83, 88, 92, 99, 103, 109, 113, 119, 123, 125, 129, 132, 134, 138, 146, 150, 152, 157, 161, 167, 169, 173, 178, 180, 184, 191, 193, 197, 203, 205, 209, 214, 216, 220, 223, 225, 229, 235, 236, 240, 248
Offset: 1

Views

Author

Matthew Vandermast, Mar 02 2003

Keywords

Crossrefs

Cf. A005224 (Aronson sequence).

A050481 The first, second, fourth, sixth, seventh, ... letters in this sentence are consonants (ignoring spaces and commas).

Original entry on oeis.org

1, 2, 4, 6, 7, 8, 9, 11, 13, 14, 15, 18, 19, 20, 21, 23, 24, 25, 26, 28, 30, 31, 32, 35, 36, 37, 38, 39, 41, 42, 43, 45, 47, 49, 50, 51, 52, 53, 55, 56, 59, 60, 61, 62, 65, 66, 69, 70, 71, 72, 74, 75, 78, 79, 80, 83, 84, 85, 88, 89, 90, 91, 93, 95, 98, 99, 100, 101, 102, 104, 105
Offset: 1

Views

Author

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

Keywords

Comments

The first, second, fourth, sixth, seventh, eighth, ninth, eleventh, thirteenth, fourteenth, fifteenth, eighteenth, nineteenth, twentieth, twenty-first, ... letters in this sentence are consonants. - Don Reble, Apr 01 2003

Crossrefs

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

Extensions

More terms from Don Reble, Apr 01 2003

A072421 The p-est sequence is similar to the Aronson sequence except that instead of the generating sentence beginning with T, it begins with P and instead of being in English it is in Latin.

Original entry on oeis.org

1, 5, 10, 25, 40, 63, 84, 110, 135, 159, 192, 230, 265, 294, 330, 366, 397, 434, 455, 483, 523, 557, 598, 634, 645, 679, 717, 753, 795, 810, 832, 842, 856, 868, 898, 911, 938
Offset: 1

Views

Author

Michael Joseph Halm, Jul 31 2002

Keywords

Examples

			a(3) = 10 because the P in the first conjunction, praeterea, is the tenth in the generating sentence.
		

References

  • M. J. Halm, Newies, Mpossibilities 64, p. 3 (Mar. 1997)

Crossrefs

Formula

From the generating sentence: "p est prima praeterea quinta praeterea decima praeterea quinta vicesima praeterea quadragesima praeterea tertia sexagesima praeterea quarta octogesima praeterea decima centesima ... littera in hic sententiam."

A072423 The t-est sequence is similar to the Aronson sequence except that instead of being in English it is in Latin.

Original entry on oeis.org

1, 4, 11, 16, 19, 29, 33, 42, 56, 70, 71, 74, 77, 87, 105, 109, 121, 128, 132, 142, 151, 161, 166, 171, 181, 185, 192, 202, 207, 212, 219, 227, 234, 251, 258, 261, 276, 283, 291, 313, 320, 343, 350, 366, 375, 382, 401, 408, 412, 427, 434, 443, 455, 462
Offset: 1

Views

Author

Michael Joseph Halm, Jul 31 2002

Keywords

Examples

			a(2) = 4 because the T in the first use of the word, est, is the fourth in the generating sentence.
		

References

  • M. J. Halm, Newies, Mpossibilities 64, p. 3 (Mar. 1997)

Crossrefs

Formula

From the generating sentence: "T est prima et quarta et undecima et sexima decima et nona decima et nona vicesima ... littera in hic sententiam."

A097963 ["comma"], is the first, fifteenth, twenty-sixth, fortieth, ... character in this sentence, including spaces and punctuations.

Original entry on oeis.org

1, 15, 26, 40, 50, 60, 70, 82, 97, 113, 137, 165, 190, 213, 237, 265, 290, 313, 339, 367, 396, 424, 452, 479, 507, 529, 556, 582, 610, 629, 655, 680, 703, 724, 753, 780, 805, 826, 854, 882, 911, 934, 962, 989, 1016, 1040, 1063, 1089, 1116, 1152, 1191, 1230
Offset: 1

Views

Author

Ray G. Opao, Sep 21 2004

Keywords

Comments

Yes, the definition begins with a comma!

Examples

			Label the coordinates:
00000000011111111112222222222333333333344444444445...
12345678901234567890123456789012345678901234567890... Then (comma)
["Comma"], is the first, fifteenth, twenty-sixth, fortieth, fiftieth, fifty-ninth, seventy-second, eighty-eighth, one hundred third, one hundred twenty-second, ... character.
		

Crossrefs

Programs

Formula

After a(2) = 15, the remaining terms are given by the recursion a(n+1) = a(n) + 2 + length(OrdinalName(a(n))); e.g., a(3) = a(2) + 2 + length(OrdinalName(a(2))) = 15 + 2 + length("fifteenth") = 15 + 2 + 9 = 26. - Jon E. Schoenfield, Aug 13 2007

Extensions

Corrected and extended by Jon E. Schoenfield, Aug 13 2007

A123267 T is the first, sixth, fourteenth, etc. character in this sentence. (In this version, letters, spaces, commas and hyphens all count.)

Original entry on oeis.org

1, 6, 14, 20, 28, 32, 36, 40, 43, 47, 51, 58, 62, 66, 77, 81, 87, 94, 97, 104, 107, 117, 125, 132, 139, 145, 152, 159, 173, 179, 188, 196, 204, 211, 218, 226, 234, 241, 249, 257, 277, 298, 319, 323, 339, 343, 349, 365, 369, 392, 396, 402, 421, 427, 446, 472
Offset: 1

Views

Author

J. Lowell, Oct 09 2006

Keywords

Examples

			  0123456789
0  T is the
1 first, six
2 th, fourte
3 enth, twen
4 tieth, twe
5 nty-eighth
6 , thirty-s
7 econd, thi
8 rty-sixth,
9  fortieth,
0  forty-thi
1 rd, forty-
		

Crossrefs

Cf. A005224.

Programs

  • Python
    from num2words import num2words
    from itertools import islice
    def n2w(n): return num2words(n, ordinal=True).replace(" and", "")
    def agen(): # generator of terms
        s, idx = "t is the ", 0
        while True:
            idx = 1 + s.index("t", idx)
            yield idx
            s += n2w(idx) + ", "
    print(list(islice(agen(), 56))) # Michael S. Branicky, Mar 18 2022

Extensions

a(7)-a(22) from R. J. Mathar, Nov 10 2006
a(23) and beyond from Michael S. Branicky, Mar 18 2022

A072422 The n-est sequence is similar to the Aronson sequence except that instead of the generating sentence beginning with T, it begins with N and instead of being in English it is in Latin.

Original entry on oeis.org

1, 18, 24, 2753, 59, 62, 95, 98, 126, 132, 135, 149, 155, 170, 176, 184, 186, 191, 197, 212, 218, 221, 230, 251, 257, 260, 268, 271, 273, 289, 295, 298, 309, 311, 327, 333, 336, 356, 371, 377, 380, 389, 403, 418, 424, 427, 435, 449, 464, 470, 473, 478, 480
Offset: 1

Views

Author

Michael Joseph Halm, Jul 31 2002

Keywords

Examples

			a(2) = 18 because the N in the first use of the word, in, is the tenth in the generating sentence.
		

References

  • M. J. Halm, Newies, Mpossibilities 64, p. 2 (Mar. 1997)

Crossrefs

Formula

From the generating sentence: "N est prima littera in hic sententiam, doudevicesima littera in hic sententiam, quarta vicesima littera in hic sententiam, septima vicesima littera in hic sententiam, tertia quinquagentesima littera in hic sententiam ...."

A089613 "The partial sums of the positions where T occurs in this sentence are one, eight, twentyfive, fortynine, eightythree, onehundredtwentysix, ..." (Variation of Aronson's sequence).

Original entry on oeis.org

1, 8, 25, 49, 83, 126, 176, 241, 307, 377, 457, 547, 639, 746, 857, 988, 1124, 1273, 1427, 1598, 1786, 1995, 2225, 2472, 2723, 2995, 3276, 3568, 3882, 4202, 4526, 4868, 5214, 5569, 5932, 6310, 6690, 7078, 7485, 7896, 8317, 8761, 9211, 9665, 10143
Offset: 1

Views

Author

Sam Alexander, Jan 03 2004; corrected Mar 01 2005

Keywords

Examples

			The sentence begins:
1234567890 1234567890 1234567890 1234567890 1234567890
Thepartial sumsofthep ositionswh ereToccurs inthissent
enceareone eighttwent yfivefourt ynineeight ythreeoneh
undredtwen tysixonehu ndredseven tysixtwohu ndredforty
onethreehu ndredseven threehundr edseventys evenfourhu
ndredfifty sevenfiveh undredfort ysevensixh undredthir
tynineseve nhundredfo rtysixeigh thundredfi ftysevenni
		

References

  • A. J. Aronson, quoted by D. R. Hofstadter in Metamagical Themas, Basic Books, NY, 1985, p. 44.

Crossrefs

Cf. A005224.

A094110 Start with the word "One". The next word is the number of letters written previously. Convert this infinite sequence of words into an infinite sequence of numbers.

Original entry on oeis.org

1, 3, 8, 13, 21, 30, 36, 45, 54, 63, 73, 85, 95, 105, 119, 137, 158, 178, 200, 210, 223, 244, 263, 283, 304, 320, 338, 361, 381, 402, 416, 434, 455, 475, 497, 519, 538, 560, 576, 597, 619, 637, 658, 678, 700, 712, 730, 748, 770, 789, 811, 829, 851, 871, 893
Offset: 1

Views

Author

Eric Angelini, May 03 2004

Keywords

Comments

Variant of A060403. [From R. J. Mathar, Dec 15 2008]

Examples

			The sentence begins
1234567890 1234567890 1234567890 1234567890 1234567890
OneThreeEi ghtThirtee nTwentyone ThirtyThir tysixForty
fiveFiftyf ourSixtyth reeSeventy threeEight yfiveNinet
yfiveOnehu ndredfiveO nehundredn ineteenOne hundredthi
rtysevenOn ehundredfi ftyeightOn ehundredse ventyeight
Twohundred Twohundred tenTwohund redtwentyt hreeTwohun
dredfortyf ourTwohund redsixtyth reeTwohund redeightyt
hreeThreeh undredfour Threehundr edtwentyTh reehundred
thirtyeigh tThreehund redsixtyon eThreehund redeightyo
neFourhund redtwoFour hundredsix teenFourhu ndredthirt
yfourFourh undredfift yfiveFourh undredseve ntyfiveFou
rhundredni netysevenF ivehundred nineteenFi vehundredt
hirtyeight Fivehundre dsixtyFive hundredsev entysixFiv
ehundredni netysevenS ixhundredn ineteenSix hundredthi
rtysevenSi xhundredfi ftyeightSi xhundredse ventyeight
Sevenhundr edSevenhun dredtwelve Sevenhundr edthirtySe
venhundred fortyeight Sevenhundr edseventyS evenhundre
deightynin eEighthund redelevenE ighthundre dtwentynin
eEighthund redfiftyon eEighthund redseventy oneEighthu
ndredninet ythreeNine hundredsix teenNinehu ndredthirt
		

Crossrefs

Extensions

Edited and extended by Robert G. Wilson v, May 14 2004
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