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 1-10 of 12 results. Next

A114761 a(n) = (floor(sqrt(2)*10^n))^2.

Original entry on oeis.org

1, 196, 19881, 1999396, 199996164, 19999899241, 1999998409369, 199999982358225, 19999999932878736, 1999999998944727844, 199999999979325598129, 19999999999912458800169, 1999999999999731161391129, 199999999999973116139112900, 19999999999999857198323561481
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Examples

			a(1) = floor(2^(1/2)*10)^2 = 14^2 = 196.

Links

Crossrefs

Cf. A114762.

Programs

  • Mathematica
    f[n_] := Floor[ Sqrt@2*10^n]^2; Table[ f[n], {n, 0, 12}] (* Robert G. Wilson v *)
  • PARI
    a(n) = sqrtint(2*100^n)^2; \\ G. C. Greubel, Jul 05 2017

Extensions

More terms from Robert G. Wilson v, Jan 03 2006
More terms from Joshua Zucker, May 05 2006

A114763 a(n) = floor(sqrt(5)*10^n)^2.

Original entry on oeis.org

4, 484, 49729, 4999696, 499969600, 49999643236, 4999995628489, 499999965341041, 49999999664599209, 4999999997764872529, 499999999955372691076, 49999999999562191467001, 4999999999996468370295001, 499999999999959886546350009, 49999999999999566363399000484
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest square < 5*10^(2n).

Examples

			a(1) = floor(sqrt(5)*10)^2 = 22^2 = 484.

Crossrefs

Cf. A114761, A114762.

Programs

  • Magma
    [Floor(5^(1/2)*10^n)^2: n in [0..150]]; // Vincenzo Librandi, Feb 05 2011
  • Mathematica
    With[{c=Sqrt[5]},(Floor[c 10^#])^2&/@Range[0,30]]  (* Harvey P. Dale, Feb 27 2011 *)

Extensions

More terms from Joshua Zucker, May 05 2006

A114764 a(n) = floor(sqrt(6)*10^n)^2.

Original entry on oeis.org

4, 576, 59536, 5997601, 599956036, 59999522704, 5999996361121, 599999979040609, 59999999863652676, 5999999996163226564, 599999999959251220329, 59999999999844305621284, 5999999999999127500585089, 599999999999961739853364561, 59999999999999603270976352489
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest square < 6*10^(2n).

Examples

			a(1) = floor(sqrt(6)*10)^2 = 24^2 = 576.

Crossrefs

Cf. A114761, A114762, A114763.

Programs

  • Magma
    [Floor(6^(1/2)*10^n)^2: n in [0..150]]; // Vincenzo Librandi, Feb 05 2011
  • Mathematica
    Floor[Sqrt[6] 10^Range[0,20]]^2 (* Harvey P. Dale, Jan 24 2014 *)

Extensions

More terms from Joshua Zucker, May 05 2006

A114765 a(n) = floor(sqrt(7) * 10^n)^2.

Original entry on oeis.org

4, 676, 69696, 6996025, 699972849, 69999930625, 6999998354001, 699999994145169, 69999999943667161, 6999999999658218721, 699999999965821872100, 69999999999757088783236, 6999999999996874888812096, 699999999999952064012316025, 69999999999999968753591518681
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest square less than 7 * 10^(2n).

Examples

			sqrt(7) = 2.645751311...
floor(sqrt(7) * 10) = 26 and 26^2 = 676, so a(1) = 676.
floor(sqrt(7) * 100) = 264 and 264^2 = 69696, so a(2) = 69696.
floor(sqrt(7) * 1000) = 2645 and 2645^2 = 6996025, so a(3) = 6996025.

Links

Crossrefs

Cf. A114761, A114762, A114763, A114764.
Cf. A010465 (sqrt(7)).

Programs

  • Magma
    [Floor(7^(1/2)*10^n)^2: n in [0..150]]; // Vincenzo Librandi, Feb 05 2011
  • Mathematica
    $MaxExtraPrecision := 200; Table[Floor[7^(1/2) * 10^n]^2, {n, 0, 20}] (* Stefan Steinerberger, Jan 26 2006 *)
  • PARI
    a(n)={sqrtint(7*10^(2*n))^2} \\ Andrew Howroyd, Nov 09 2019

Extensions

More terms from Stefan Steinerberger, Jan 26 2006
Terms a(12) and beyond from Andrew Howroyd, Nov 09 2019

A114766 a(n) = floor(sqrt(8)*10^n)^2.

Original entry on oeis.org

4, 784, 79524, 7997584, 799984656, 79999596964, 7999999294329, 799999986001441, 79999999731514944, 7999999995778911376, 799999999973870935009, 79999999999649835200676, 7999999999998924645564516, 799999999999949033098946521, 79999999999999994478719195161
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest square < 8*10^(2n).

Examples

			a(1) = floor(sqrt(8)*10)^2 = 28^2 = 784.

Crossrefs

Cf. A114761, A114762, A114763, A114764, A114765.

Programs

Extensions

More terms from Joshua Zucker, May 05 2006

A114767 a(n) = floor(2^(1/3)*10^n)^3.

Original entry on oeis.org

1, 1728, 1953125, 1995616979, 1999899757799, 1999995000191488, 1999999762390486961, 1999999762390486961000, 1999999952878604157540864, 1999999995738432193638080649, 1999999999548194715368954025992, 1999999999976792999366436309113669, 1999999999995841811989967823752208984
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest cube < 2*10^(3n).

Examples

			a(1) = floor(2^(1/3)*10)^3 = 1728.

Crossrefs

Cf. A114761, A114762, A114763, A114764, A114765, A114766.

Programs

  • Mathematica
    With[{c=Power[2, (3)^-1]},Table[(Floor[c 10^n])^3, {n,0,20}]]  (* Harvey P. Dale, Mar 11 2011 *)

Extensions

More terms from Joshua Zucker, Jan 11 2006

A114768 a(n) = floor(3^(1/3)*10^n)^3.

Original entry on oeis.org

1, 2744, 2985984, 2998442888, 2999690679448, 2999940279271424, 2999996441139764249, 2999999561264112937375, 2999999998081694390995493, 2999999998081694390995493000, 2999999999953769831333566793927, 2999999999953769831333566793927000
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest cube < 3*10^(3*n).

Examples

			a(1) = floor(3^(1/3)*10)^3 = 2744.

Crossrefs

Cf. A114761, A114762, A114763, A114764, A114765, A114766, A114767.

Programs

Extensions

More terms from Stefan Steinerberger, Mar 24 2006
Missing a(0)=1 inserted by Georg Fischer, Aug 31 2021

A114769 a(n) = floor(4^(1/3)*10^n)^3.

Original entry on oeis.org

1, 3375, 3944312, 3996969003, 3999992047624, 3999992047624000, 3999999607145042201, 3999999607145042201000, 3999999985121344326657625, 3999999992680870612043135651, 3999999999484444277033462628359
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest cube < 4*10^(3n).

Examples

			a(1) = floor(4^(1/3)*10)^3 = 3375.

Crossrefs

Cf. A114761, A114762, A114763, A114764, A114765, A114766, A114767, A114768.

Programs

Extensions

More terms from Stefan Steinerberger, Mar 26 2006

A114770 a(n) = floor(5^(1/3)*10^n)^3.

Original entry on oeis.org

1, 4913, 4913000, 4991443829, 4999333821299, 4999947835616973, 4999991695706234375, 4999999590549541302479, 4999999941431658940060584, 4999999994063978001557890536, 4999999999327209928022135406696, 4999999999941253653016890923938963, 4999999999993885972304494929654803776
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest cube < 5*10^(3n).

Examples

			a(1) = floor(5^(1/3)*10)^3 = 4913.

Crossrefs

Cf. A114761, A114762, A114763, A114764, A114765, A114766, A114767, A114768, A114769.

Extensions

More terms from Joshua Zucker, May 05 2006

A114771 a(n) = floor(6^(1/3)*10^n)^3.

Original entry on oeis.org

1, 5832, 5929741, 5998805513, 5999796014211, 5999994127536128, 5999994127536128000, 5999999080425132440125, 5999999971945442706621379, 5999999991757006160038514688, 5999999999681631553616419338752, 5999999999978805006011329671418187, 5999999999998616569504672580749754368
Offset: 0

Views

Author

Amarnath Murthy, Nov 17 2005

Keywords

Comments

Largest cube < 6*10^(3n).

Examples

			a(1) = floor(6^(1/3)*10)^3 = 5832.

Crossrefs

Cf. A114761, A114762, A114763, A114764, A114765, A114766, A114767, A114768, A114769, A114770.

Extensions

More terms from Joshua Zucker, May 05 2006
Showing 1-10 of 12 results. Next

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