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 10 results.

A045784 Squares with initial digit '1'.

Original entry on oeis.org

1, 16, 100, 121, 144, 169, 196, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 10000, 10201, 10404, 10609, 10816, 11025, 11236, 11449, 11664, 11881, 12100, 12321, 12544, 12769, 12996, 13225, 13456, 13689, 13924
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A045855.
Cf. A045785, A045786, A045787, A045788, A045789, A045791, A045792, A045793.

Programs

  • Mathematica
    Select[Range[120]^2,First[IntegerDigits[#]]==1&] (* Harvey P. Dale, Dec 31 2011 *)

Formula

a(n) = A045855(n)^2. - Michel Marcus, Sep 04 2021

A045788 Squares with initial digit '5'.

Original entry on oeis.org

529, 576, 5041, 5184, 5329, 5476, 5625, 5776, 5929, 50176, 50625, 51076, 51529, 51984, 52441, 52900, 53361, 53824, 54289, 54756, 55225, 55696, 56169, 56644, 57121, 57600, 58081, 58564, 59049, 59536, 501264, 502681, 504100, 505521
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A045784, A045785, A045786, A045787, A045789, A045791, A045792, A045793.

Programs

  • Maple
    seq(op(map(`^`, [seq(i,i=ceil(sqrt(5*10^d))..floor(sqrt(6*10^d-1)))],2)),d=1..5); # Robert Israel, Sep 30 2016
  • Mathematica
    Flatten[Table[Range[Ceiling[Sqrt[5 10^n]],Floor[Sqrt[6 10^n]]]^2,{n,5}]]  (* Harvey P. Dale, Jun 15 2011 *)

Formula

a(n) = A045859(n)^2. - R. J. Mathar, Jul 23 2025

Extensions

Offset changed by Robert Israel, Sep 30 2016

A045789 Squares with initial digit '6'.

Original entry on oeis.org

64, 625, 676, 6084, 6241, 6400, 6561, 6724, 6889, 60025, 60516, 61009, 61504, 62001, 62500, 63001, 63504, 64009, 64516, 65025, 65536, 66049, 66564, 67081, 67600, 68121, 68644, 69169, 69696, 600625, 602176, 603729, 605284, 606841
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045860.
Cf. A045784, A045785, A045786, A045787, A045788, A045791, A045792, A045793.

Programs

  • Mathematica
    Flatten[Table[Range[Ceiling[Sqrt[6 10^n]],Floor[Sqrt[7 10^n]]]^2,{n,5}]] (* Harvey P. Dale, Jun 15 2011 *)

Formula

a(n) = A045860(n)^2. - Michel Marcus, Sep 04 2021

A045787 Squares with initial digit '4'.

Original entry on oeis.org

4, 49, 400, 441, 484, 4096, 4225, 4356, 4489, 4624, 4761, 4900, 40000, 40401, 40804, 41209, 41616, 42025, 42436, 42849, 43264, 43681, 44100, 44521, 44944, 45369, 45796, 46225, 46656, 47089, 47524, 47961, 48400, 48841, 49284, 49729, 400689
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045858.
Cf. A045784, A045785, A045786, A045788, A045789, A045791, A045792, A045793.

Programs

  • Mathematica
    Flatten[Table[Range[Ceiling[Sqrt[4 10^n]],Floor[Sqrt[5 10^n]]]^2, {n,5}]] (* Harvey P. Dale, Jun 15 2011 *)

Formula

a(n) = A045858(n)^2. - Michel Marcus, Sep 04 2021

A045786 Squares with initial digit '3'.

Original entry on oeis.org

36, 324, 361, 3025, 3136, 3249, 3364, 3481, 3600, 3721, 3844, 3969, 30276, 30625, 30976, 31329, 31684, 32041, 32400, 32761, 33124, 33489, 33856, 34225, 34596, 34969, 35344, 35721, 36100, 36481, 36864, 37249, 37636, 38025, 38416, 38809
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045857.
Cf. A045784, A045785, A045787, A045788, A045789, A045791, A045792, A045793.

Programs

  • Mathematica
    Select[Range[200]^2,First[IntegerDigits[#]]==3&]  (* Harvey P. Dale, Apr 21 2011 *)

Formula

a(n) = A045857(n)^2. - Michel Marcus, Sep 04 2021

A045791 Squares with initial digit '7'.

Original entry on oeis.org

729, 784, 7056, 7225, 7396, 7569, 7744, 7921, 70225, 70756, 71289, 71824, 72361, 72900, 73441, 73984, 74529, 75076, 75625, 76176, 76729, 77284, 77841, 78400, 78961, 79524, 700569, 702244, 703921, 705600, 707281, 708964, 710649, 712336
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045861.
Cf. A045784, A045785, A045786, A045787, A045788, A045789, A045792, A045793.

Programs

  • Mathematica
    Flatten[Table[Range[Ceiling[Sqrt[7 10^n]],Floor[Sqrt[8 10^n]]]^2,{n,5}]] (* Harvey P. Dale, Jun 15 2011 *)

Formula

a(n) = A045861(n)^2. - Michel Marcus, Sep 04 2021

A045792 Squares with initial digit '8'.

Original entry on oeis.org

81, 841, 8100, 8281, 8464, 8649, 8836, 80089, 80656, 81225, 81796, 82369, 82944, 83521, 84100, 84681, 85264, 85849, 86436, 87025, 87616, 88209, 88804, 89401, 801025, 802816, 804609, 806404, 808201, 810000, 811801, 813604, 815409, 817216
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045862.
Cf. A045784, A045785, A045786, A045787, A045788, A045789, A045791, A045793.

Formula

a(n) = A045862(n)^2. - Michel Marcus, Sep 04 2021

Extensions

a(16) corrected by Sean A. Irvine, Mar 21 2021
Offset 1 from Michel Marcus, Mar 22 2021

A045793 Squares with initial digit '9'.

Original entry on oeis.org

9, 900, 961, 9025, 9216, 9409, 9604, 9801, 90000, 90601, 91204, 91809, 92416, 93025, 93636, 94249, 94864, 95481, 96100, 96721, 97344, 97969, 98596, 99225, 99856, 900601, 902500, 904401, 906304, 908209, 910116, 912025, 913936, 915849
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045863.
Cf. A045784, A045785, A045786, A045787, A045788, A045789, A045791, A045792.

Programs

  • Mathematica
    Select[Range[1000]^2,First[IntegerDigits[#]]==9&] (* Harvey P. Dale, Apr 21 2015 *)

Formula

a(n) = A045863(n)^2. - Michel Marcus, Sep 04 2021

A067472 Smallest n-digit square starting with 2.

Original entry on oeis.org

25, 225, 2025, 20164, 200704, 2002225, 20007729, 200024449, 2000057284, 20000182084, 200000361796, 2000001237796, 20000000402496, 200000010642496, 2000000040249600, 20000000215721449, 200000000447251216
Offset: 2

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Crossrefs

Cf. A035069 (roots), A045785, A067479 (2..9).

Programs

  • Mathematica
    Table[Ceiling[Sqrt[2*10^(n-1)]]^2,{n,2,30}] (* Harvey P. Dale, Apr 18 2021 *)
  • PARI
    for(n=2,25,a=ceil(sqrt(2*10^(n-1)))^2; print(a))

Formula

a(n) = ceiling(sqrt(2*10^(n-1)))^2, n>1. - Rick L. Shepherd, Feb 14 2002

Extensions

More terms from Rick L. Shepherd, Feb 14 2002

A045856 Numbers whose square has initial digit '2'.

Original entry on oeis.org

5, 15, 16, 17, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 448, 449, 450, 451, 452, 453, 454, 455, 456
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Cf. A045785

Programs

  • Mathematica
    Select[Range[500],IntegerDigits[#^2][[1]]==2&] (* Harvey P. Dale, Apr 15 2024 *)
  • PARI
    isok(n) = digits(n^2)[1] == 2; \\ Michel Marcus, May 28 2017

Extensions

Corrected by Seiichi Manyama, May 28 2017
Showing 1-10 of 10 results.

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

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