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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A164789 a(n) is the smallest number which has in its English name the letter "o" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

1, 4, 2, 0, 4000000000000000000000000000, 41, 21, 24, 22, 72, 101, 104, 102, 304, 302, 141, 121, 124, 122, 172, 322, 372, 1104, 1102, 1304, 1302, 1141, 1121, 1124, 1122, 1172, 1322, 1372, 3322, 3372, 11372, 13322, 13372, 17372, 23322, 23372, 73372, 101372, 103322, 103372
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Examples

			a(1)=1 ("One"), a(2)=4 ("fOur"), a(3)=2 ("twO"), a(4)=0 ("zerO"), a(5)=4*10^27 ("fourOctillion").

Crossrefs

Cf. A164790 ("e"), A164791 ("n"), A164792 ("t"), A164793 ("i").
Cf. A164794 ("f"), A164795 ("h"), A164796 ("r"), A164797 ("u").

Extensions

a(5) corrected and a(23) and beyond from Michael S. Branicky, Mar 25 2021

A164792 a(n) is the smallest number whose English name has the letter "t" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

2, -1, -1, 15, 8, 17, 22, 72, 13000, 48, 28, 78, 302, 115, 108, 117, 122, 172, 322, 148, 128, 178, 328, 378, 1115, 1108, 1117, 1122, 1172, 1322, 1148, 1128, 1178, 1328, 1378, 3328, 3378, 11378, 13328, 13378, 17378, 23328, 23378, 73378, 101378, 103328, 103378
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Examples

			a(1)=2 ("Two"), a(4)=15 ("fifTeen"), a(9)=13000 ("thirteenThousand"), a(13)=302 ("threehundredTwo").

Crossrefs

Cf. A164789 ("o"), A164790 ("e"), A164791 ("n"), A164793 ("i").
Cf. A164794 ("f"), A164795 ("h"), A164796 ("r"), A164797 ("u").

Extensions

a(9) corrected, and a(25) and beyond from Michael S. Branicky, Feb 02 2021

A164793 a(n) is the smallest number whose English name has the letter "i" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

-1, 5, 13, -1, 1000000, 4000000, 45, 25, 75, 13000000, 17000000, 105, 113, 305, 313, 3013, 145, 125, 175, 325, 375, 3075, 1105, 1113, 1305, 1313, 3305, 1145, 1125, 1175, 1325, 1375, 3325, 3375, 11375, 13325, 13375, 17375, 23325, 23375, 73375, 101375, 103325
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Comments

Original definition used "-2 for infinite".

Examples

			a(2)=5 ("fIve"), a(3)=13 ("thIrteen"), a(5)=10^6 ("onemIllion").

Crossrefs

Cf. A164789 ("o"), A164790 ("e"), A164791 ("n"), A164792 ("t").
Cf. A164794 ("f"), A164795 ("h"), A164796 ("r"), A164797 ("u").

Extensions

a(11) and beyond from Michael S. Branicky, Feb 02 2021
Name changed to remove "-2" (see Comments), and a(1) and a(4) changed from -2 to -1 by Jon E. Schoenfield, Feb 02 2021

A164794 a(n) is the smallest number whose English name has the letter "f" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

4, -1, 15, -1, -1, 44, 24, 74, -1, -1, 104, 404, 115, 415, 315, 144, 124, 174, 324, 374, 3074, 1104, 1404, 1115, 1415, 1315, 1144, 1124, 1174, 1324, 1374, 3324, 3374, 11374, 13324, 13374, 17374, 23324, 23374, 73374, 101374, 103324, 103374, 111374, 113324
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Examples

			a(1)=4 ("Four"), a(3)=15 ("fiFteen"), a(11)=104 ("onehundredFour").

Crossrefs

Cf. A164789 ("o"), A164790 ("e"), A164791 ("n"), A164792 ("t").
Cf. A164793 ("i"), A164795 ("h"), A164796 ("r"), A164797 ("u").

Extensions

a(21) and beyond from Michael S. Branicky, Feb 02 2021

A164795 a(n) is the smallest number whose English name has the letter "h" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

-1, 3, -1, 8, 400, 300, 43, 23, 48, 28, 78, 103, 403, 108, 408, 308, 143, 123, 148, 128, 178, 328, 378, 1403, 1108, 1408, 1308, 1143, 1123, 1148, 1128, 1178, 1328, 1378, 3328, 3378, 11378, 13328, 13378, 17378, 23328, 23378, 73378, 101378, 103328, 103378
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Examples

			a(2)=3 ("tHree"), a(4)=8 ("eigHt"), a(12)=103 ("onehundredtHree").

Crossrefs

Cf. A164789 ("o"), A164790 ("e"), A164791 ("n"), A164792 ("t").
Cf. A164793 ("i"), A164794 ("f"), A164796 ("r"), A164797 ("u").

Extensions

a(24) and beyond from Michael S. Branicky, Feb 02 2021

A164796 a(n) is the smallest number whose English name has the letter "r" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

-1, -1, 0, 4, 1000000000000, 4000000000000, 3000000000000, 43, 23, 24, 74, 24000000000000, 103, 104, 303, 304, 3004, 143, 123, 124, 174, 324, 374, 1103, 1104, 1303, 1304, 3303, 1143, 1123, 1124, 1174, 1324, 1374, 3324, 3374, 11374, 13324, 13374, 17374, 23324
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Examples

			a(3)=0 ("zeRo"), a(4)=4 ("fouR"), a(5)=1000000000000 ("onetRillion"), a(13)=103 ("onehundredthRee").

Crossrefs

Cf. A164789 ("o"), A164790 ("e"), A164791 ("n"), A164792 ("t").
Cf. A164793 ("i"), A164794 ("f"), A164795 ("h"), A164797 ("u").

Extensions

a(24) and beyond from Michael S. Branicky, Feb 02 2021

A164797 a(n) is the smallest number whose English name has the letter "u" in the n-th position, or -1 if no such number exists.

Original entry on oeis.org

-1, -1, 4, 1000000000000000000000000000000000000, 100, 400, 300, 44, 24, 74, 15000, 13000, 104, 404, 304, 4004, 1100, 144, 124, 174, 324, 374, 3024, 3074, 1104, 1404, 3404, 3304, 1144, 1124, 1174, 1324, 1374, 3324, 3374, 11374, 13324, 13374, 17374, 23324, 23374
Offset: 1

Views

Author

Claudio Meller, Aug 26 2009

Keywords

Examples

			a(3)=4 ("foUr"), a(5)=100 ("onehUndred"), a(4)=10^36 ("oneUndecillion").

Links

Crossrefs

Cf. A164789 ("o"), A164790 ("e"), A164791 ("n"), A164792 ("t").
Cf. A164793 ("i"), A164794 ("f"), A164795 ("h"), A164796 ("r").

Extensions

a(4) corrected, and a(27) and beyond from Michael S. Branicky, Feb 02 2021

A006092 Numbers beginning with letter 't' when spelled out in English.

Original entry on oeis.org

2, 3, 10, 12, 13, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Comments

The next 179 terms are all the numbers from 221 to 399. Assuming that '1000' is spelled 'one thousand', the following terms are the numbers in the intervals [x*1000 , x*1000+999] where x runs over all elements a(1),..,a(225) occurring up to there. Then the numbers in the intervals [x*10^6, (x+1)*10^6-1] appear, where x again runs over all preceding terms. M. F. Hasler, Mar 23 2011

References

  • Archimedeans Problems Drive, Eureka, 48 (1988), pages 55, 56, 99.
  • N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Formula

Let g_k(x) = (x^(2k) - x^(4k) + x^(10k) - x^(11k) + x^(12k) - x^(14k) + x^(20k) - x^(40k) + x^(200k) - x^(400k))/(1-x). Then the g.f. of the characteristic function of this sequence is Sum_{j>=0} g_{1000^j}(x).

A030166 Number of strokes in Chinese characters for n; also number of strokes in Japanese kanji characters for n.

Original entry on oeis.org

13, 1, 2, 3, 5, 4, 4, 2, 2, 2, 2, 3, 4, 5, 7, 6, 6, 4, 4, 4, 4, 5, 6, 7, 9, 8, 8, 6, 6, 6, 5, 6, 7, 8, 10, 9, 9, 7, 7, 7, 7, 8, 9, 10, 12, 11, 11, 9, 9, 9, 6, 7, 8, 9, 11, 10, 10, 8, 8, 8, 6, 7, 8, 9, 11, 10, 10, 8, 8, 8, 4, 5, 6, 7, 9, 8, 8, 6, 6, 6, 4, 5, 6, 7, 9, 8, 8, 6, 6, 6, 4, 5, 6, 7, 9, 8, 8, 6, 6, 6, 7
Offset: 0

Views

Author

Yasutoshi Kohmoto

Keywords

Comments

From Benjamin M. Covert, Oct 30 2018: (Start)
Numbers on the interval of n [200,299] use the "er" (二) form rather than the "liang" (两) form.
Numbers for n = 100m + c where m is a whole number and c is on the interval [1,9] have a "ling" (零) after the "bai" (百) adding 13 additional strokes. (End)

Examples

			The Chinese number 15 (十五) takes 6 strokes to write so a(15) = 6

Links

Programs

  • Python
    from num2words import num2words
def A030166(n):
    kanji=['一','二','三','四','五','六','七','八','九','十','百','千','万','億','兆','京','垓','秭','穣','溝','澗','正','載','極','零']
    strokes=[1,2,3,5,4,4,2,2,2,2,6,3,3,15,6,8,9,10,18,13,15,5,13,12,13]
    return sum([strokes[kanji.index(i)] for i in num2words(n, lang='ja')]) # Hunter N. Ratliff, Feb 29 2020

Extensions

Corrected by Robert Lozyniak (11(AT)onna.com), Oct 22 2001
More terms from Naohiro Nomoto, Oct 23 2001
Extended by Benjamin M. Covert, Oct 30 2018

A045494 Smallest positive integer requiring at least n letters (not including hyphens) when spelled out in English.

Original entry on oeis.org

1, 1, 1, 3, 3, 11, 13, 13, 17, 23, 23, 73, 101, 103, 103, 111, 113, 113, 117, 123, 123, 173, 323, 373, 1103, 1103, 1111, 1113, 1113, 1117, 1123, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 23323, 23373, 73373, 101373, 103323
Offset: 1

Views

Author

Brian Galebach

Keywords

Comments

Assumes British definition of billion, trillion. Also assumes no 'and' is used to spell integers.

Crossrefs

Cf. A000916, A001166, A014388, A045494, A045495, A045495, A167509.

Extensions

Added "at least" in definition M. F. Hasler, Nov 18 2009
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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