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 1-3 of 3 results.

A045736 Smallest positive integer requiring n syllables to pronounce in American English.

Original entry on oeis.org

1, 7, 11, 27, 77, 111, 127, 177, 777, 1127, 1177, 1777, 7777, 11777, 27777, 77777, 111777, 127777, 177777, 777777, 1127777, 1177777, 1777777, 7777777, 11777777, 27777777, 77777777, 111777777, 127777777, 177777777, 777777777, 1127777777, 1177777777, 1777777777
Offset: 1

Views

Author

Brian Galebach

Keywords

Comments

Assumes the American usage of billion, trillion, etc. ("short scale"), which makes a difference from a(59) on.
See A002810 for the British English version, which in particular includes the additional "and", e.g., in "one hundred and seven". Therefore the sequences differ from a(6)=111 on, with A002810(6)= 107. - M. F. Hasler, Nov 03 2013

Links

Crossrefs

Cf. A002810.

Programs

  • PARI
    A045736(n)={n>11 || for(k=1,1e5,A075774(k)==n && return(k)); A045736(n-11*n=(n-1)\11)*1000^n+1000^n\9*7 } \\ This code is valid up to n=58 (short scale) or n=82 (long scale). - M. F. Hasler, Nov 03 2013

Formula

a(n) = min{ k | A075774(k)=n }. - M. F. Hasler, Nov 03 2013
a(n+11) = a(n)*1000+777, as long as a(n+11) is less than one quadrillion (whatever scale is used). - M. F. Hasler, Nov 03 2013

A164043 Numbers divisible by the number of syllables in their (American) English name.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 18, 20, 21, 24, 30, 33, 36, 39, 40, 42, 45, 48, 50, 51, 54, 60, 63, 66, 69, 72, 76, 80, 81, 84, 90, 93, 96, 99, 104, 108, 112, 115, 120, 126, 130, 132, 138, 140, 144, 147, 150, 156, 160, 162, 168, 175, 180, 186, 190, 192, 198
Offset: 1

Views

Author

Jonathan Vos Post, Aug 08 2009

Keywords

Comments

The name has no extra "and" syllables, as in 104 being in this sequence because "one hundred four" has 4 syllables (which divides 104) rather than "one hundred and four" which has 5 syllables.

Examples

			a(15) = 21 because "twenty-one" has 3 syllables, and 3*7 = 21.

Links

Crossrefs

Cf. A075774, A045736, A002810 (British variant), A163648.

Programs

Formula

{k such that A075774(k)|k}.

Extensions

84 inserted and more terms from Michael S. Branicky, May 27 2024

A336821 a(n) is the smallest positive integer greater than a(n-1) containing n syllables in Spanish, starting from a(1) = 2.

Original entry on oeis.org

2, 4, 14, 17, 31, 41, 131, 141, 241, 441, 1441, 4441, 14441, 17441
Offset: 1

Views

Author

Rodolfo Kurchan, Aug 04 2020

Keywords

Comments

Note that 1 has two syllables (u-no) but 1 is not in the sequence because 1 < 2.

Examples

			a(1) = 2 since "dos" is the least number to have only one syllable.
a(2) = 4 because "cuatro" is the first number > 2 to have two syllables: cua-tro.
a(3) = 14 because "catorce" is the first number > 4 to have three syllables: ca-tor-ce.
a(4) = 17 because "diecisiete" is the first number > 14 to have four syllables: die-ci-sie-te.
a(5) = 31 because "treinta y uno" is the first number > 17 to have five syllables: trein-ta-y-u-no.

References

  • Rodolfo Kurchan, Diversiones con Números y Figuras, Ediciones de Mente, (2000), problem 14.

Crossrefs

Cf. A002810.
Showing 1-3 of 3 results.

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

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