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 1-7 of 7 results.

A306078 Decimal expansion of the third smallest known Salem number.

Original entry on oeis.org

1, 2, 0, 0, 0, 2, 6, 5, 2, 3, 9, 8, 7, 3, 9, 1, 5, 1, 8, 9, 0, 2, 9, 6, 2, 1, 0, 0, 4, 1, 4, 6, 0, 1, 5, 6, 7, 2, 4, 0, 6, 1, 8, 1, 5, 1, 9, 9, 9, 8, 5, 1, 0, 6, 7, 9, 2, 4, 3, 9, 9, 8, 3, 9, 8, 8, 6, 0, 7, 3, 1, 1, 3, 4, 4, 2, 5, 2, 4, 0, 9, 6, 4, 4, 2, 4, 6, 1, 7, 2, 7, 8, 8, 4, 9, 6, 9, 9, 1, 0
Offset: 1

Views

Author

Jean-François Alcover, Jun 19 2018

Keywords

Examples

			1.200026523987391518902962100414601567240618151999851067924399839886...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306079 (sigma4).

Programs

  • Mathematica
    c1 = {1, 0, 0, -1, -1, 0, 0, 1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2]-1]). c2;
sigma3 = Root[p, x, 2];
RealDigits[sigma3, 10, 100][[1]]
  • PARI
    polrootsreal(x^14 - x^11 - x^10 + x^7 - x^4 - x^3 + 1)[2] \\ Charles R Greathouse IV, Feb 11 2025

A316605 Decimal expansion of the fifth smallest known Salem number.

Original entry on oeis.org

1, 2, 1, 6, 3, 9, 1, 6, 6, 1, 1, 3, 8, 2, 6, 5, 0, 9, 1, 6, 2, 6, 8, 0, 6, 3, 1, 1, 1, 9, 9, 4, 6, 3, 3, 2, 7, 7, 2, 2, 2, 5, 3, 6, 0, 6, 5, 7, 0, 5, 7, 0, 7, 5, 7, 5, 6, 0, 4, 2, 7, 0, 6, 5, 8, 3, 8, 3, 1, 2, 1, 2, 9, 4, 6, 1, 8, 4, 9, 5, 9, 4, 4, 2, 6, 3, 7, 9, 6, 6, 6, 7, 0, 9, 5, 4, 3, 9, 5, 4, 2, 8
Offset: 1

Views

Author

Jean-François Alcover, Jul 08 2018

Keywords

Examples

			1.21639166113826509162680631119946332772225360657057075756042706583831...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3), A306079 (sigma4), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9), A316610 (sigma10).

Programs

  • Mathematica
    c1 = {1, 0, 0, 0, -1, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma5 = Root[p, x, 2];
RealDigits[sigma5, 10, 102][[1]]
  • PARI
    polrootsreal(1 - x^4 - x^5 - x^6 + x^10)[2] \\ Charles R Greathouse IV, Feb 11 2025

Formula

p = 1 - x^4 - x^5 - x^6 + x^10.

A316606 Decimal expansion of the sixth smallest known Salem number.

Original entry on oeis.org

1, 2, 1, 9, 7, 2, 0, 8, 5, 9, 0, 4, 0, 3, 1, 1, 8, 4, 4, 1, 6, 9, 6, 0, 6, 7, 6, 0, 4, 1, 4, 6, 7, 7, 9, 4, 4, 3, 9, 0, 4, 1, 5, 5, 0, 5, 5, 4, 1, 5, 6, 9, 6, 7, 8, 2, 8, 7, 9, 7, 4, 4, 1, 7, 8, 7, 3, 3, 8, 4, 6, 4, 5, 9, 9, 0, 8, 3, 9, 0, 6, 5, 8, 3, 5, 5, 3, 9, 3, 2, 0, 7, 8, 5, 1, 6, 2, 5, 9, 5, 7, 8
Offset: 1

Views

Author

Jean-François Alcover, Jul 08 2018

Keywords

Examples

			1.219720859040311844169606760414677944390415505541569678287974417873...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9), A316610 (sigma10).

Programs

  • Mathematica
    c1 = {1, -1, 0, 0, 0, 0, 0, 0, -1, 1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma6 = Root[p, x, 2];
RealDigits[sigma6, 10, 102][[1]]
  • PARI
    polrootsreal(1 - x - x^8 + x^9 - x^10 - x^17 + x^18)[2] \\ Charles R Greathouse IV, Feb 11 2025

Formula

Equals root of p = 1 - x - x^8 + x^9 - x^10 - x^17 + x^18 with largest absolute value.

A316607 Decimal expansion of the seventh smallest known Salem number.

Original entry on oeis.org

1, 2, 3, 0, 3, 9, 1, 4, 3, 4, 4, 0, 7, 2, 2, 4, 7, 0, 2, 7, 9, 0, 1, 7, 7, 9, 3, 8, 9, 7, 5, 2, 7, 9, 0, 1, 7, 5, 6, 6, 5, 7, 4, 4, 8, 9, 6, 6, 1, 7, 5, 6, 2, 4, 1, 4, 0, 1, 9, 1, 4, 2, 3, 6, 1, 7, 2, 8, 1, 3, 4, 4, 7, 8, 5, 3, 5, 4, 5, 4, 1, 6, 7, 3, 5, 9, 8, 4, 6, 5, 1, 6, 6, 2, 4, 0, 8, 5, 2, 8, 5, 6
Offset: 1

Views

Author

Jean-François Alcover, Jul 08 2018

Keywords

Examples

			1.2303914344072247027901779389752790175665744896617562414019142361728...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316608 (sigma8), A316609 (sigma9), A316610 (sigma10).

Programs

  • Mathematica
    c1 = {1, 0, 0, -1, 0, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma7 = Root[p, x, 2];
RealDigits[sigma7, 10, 102][[1]]
  • PARI
    polrootsreal(1 - x^3 - x^5 - x^7 + x^10)[2] \\ Charles R Greathouse IV, Feb 11 2025

Formula

p = 1 - x^3 - x^5 - x^7 + x^10.

A316608 Decimal expansion of the eighth smallest known Salem number.

Original entry on oeis.org

1, 2, 3, 2, 6, 1, 3, 5, 4, 8, 5, 9, 3, 1, 2, 1, 0, 0, 3, 9, 6, 2, 7, 3, 1, 6, 9, 4, 8, 0, 7, 9, 0, 9, 7, 9, 1, 4, 1, 1, 5, 7, 7, 3, 7, 1, 2, 0, 9, 8, 3, 1, 0, 4, 6, 7, 2, 9, 9, 1, 6, 5, 8, 2, 0, 5, 3, 8, 3, 9, 3, 5, 1, 3, 7, 3, 8, 9, 5, 7, 0, 3, 1, 3, 4, 9, 7, 8, 4, 8, 8, 5, 3, 0, 3, 2, 4, 9, 2, 2, 3, 3
Offset: 1

Views

Author

Jean-François Alcover, Jul 08 2018

Keywords

Examples

			1.2326135485931210039627316948079097914115773712098310467299165820538...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316609 (sigma9), A316610 (sigma10).

Programs

  • Mathematica
    c1 = {1, -1, 0, 0, 0, -1, 1, 0, 0, -1, 1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma8 = Root[p, x, 2];
RealDigits[sigma8, 10, 102][[1]]
  • PARI
    polrootsreal(1 - x - x^5 + x^6 - x^9 + x^10 - x^11 + x^14 - x^15 - x^19 + x^20)[2] \\ Charles R Greathouse IV, Feb 11 2025

Formula

p = 1 - x - x^5 + x^6 - x^9 + x^10 - x^11 + x^14 - x^15 - x^19 + x^20.

A316609 Decimal expansion of the ninth smallest known Salem number.

Original entry on oeis.org

1, 2, 3, 5, 6, 6, 4, 5, 8, 0, 3, 8, 9, 7, 4, 7, 3, 0, 8, 1, 0, 5, 1, 6, 9, 3, 5, 1, 5, 3, 1, 2, 6, 3, 4, 7, 9, 7, 2, 3, 5, 1, 0, 0, 4, 2, 7, 4, 6, 2, 3, 9, 0, 7, 7, 6, 5, 0, 4, 3, 8, 0, 7, 7, 2, 0, 6, 3, 1, 1, 9, 2, 4, 9, 4, 0, 2, 7, 8, 1, 4, 9, 8, 8, 9, 1, 6, 6, 0, 7, 4, 0, 4, 2, 6, 3, 8, 5, 9, 2, 5
Offset: 1

Views

Author

Jean-François Alcover, Jul 08 2018

Keywords

Examples

			1.2356645803897473081051693515312634797235100427462390776504380772063...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316610 (sigma10).

Programs

  • Mathematica
    c1 = {1, 0, -1, -1, 0, 0, 0, 1, 1, 0, -1, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma9 = Root[p, x, 2];
RealDigits[sigma9, 10, 101][[1]]
  • PARI
    polrootsreal(1 - x^2 - x^3 + x^7 + x^8 - x^10 - x^11 - x^12 + x^14 + x^15 - x^19 - x^20 + x^22)[2] \\ Charles R Greathouse IV, Feb 11 2025

Formula

p = 1 - x^2 - x^3 + x^7 + x^8 - x^10 - x^11 - x^12 + x^14 + x^15 - x^19 - x^20 + x^22.

A316610 Decimal expansion of the tenth smallest known Salem number.

Original entry on oeis.org

1, 2, 3, 6, 3, 1, 7, 9, 3, 1, 8, 0, 3, 2, 3, 0, 4, 8, 9, 8, 9, 9, 0, 9, 4, 8, 6, 9, 8, 0, 2, 0, 5, 4, 5, 5, 3, 9, 4, 4, 8, 1, 9, 2, 0, 8, 3, 6, 7, 8, 6, 9, 5, 6, 3, 7, 9, 4, 7, 5, 3, 7, 8, 4, 1, 1, 1, 8, 3, 6, 9, 9, 9, 5, 6, 7, 1, 4, 1, 5, 6, 3, 4, 2, 7, 2, 4, 3, 8, 5, 4, 3, 6, 5, 4, 0, 5, 5, 6, 1, 8, 8
Offset: 1

Views

Author

Jean-François Alcover, Jul 08 2018

Keywords

Examples

			1.2363179318032304898990948698020545539448192083678695637947537841118...

Links

Crossrefs

Cf. A073011 (sigma1), A219300 (sigma2), A306078 (sigma3 ), A306079 (sigma4), A316605 (sigma5), A316606 (sigma6), A316607 (sigma7), A316608 (sigma8), A316609 (sigma9).

Programs

  • Mathematica
    c1 = {1, -1, 0, 0, 0, 0, 0, 0, -1};
c2 = Join[c1, Reverse[Most[c1]]];
p = (x^Range[0, Length[c2] - 1]).c2;
sigma10 = Root[p, x, 2];
RealDigits[sigma10, 10, 102][[1]]
  • PARI
    polrootsreal(1 - x - x^8 - x^15 + x^16)[2] \\ Charles R Greathouse IV, Feb 11 2025

Formula

p = 1 - x - x^8 - x^15 + x^16.
Showing 1-7 of 7 results.

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