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 11 results. Next

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

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

A045785 Squares with initial digit '2'.

Original entry on oeis.org

25, 225, 256, 289, 2025, 2116, 2209, 2304, 2401, 2500, 2601, 2704, 2809, 2916, 20164, 20449, 20736, 21025, 21316, 21609, 21904, 22201, 22500, 22801, 23104, 23409, 23716, 24025, 24336, 24649, 24964, 25281, 25600, 25921, 26244, 26569
Offset: 1

Views

Author

Jeff Burch

Keywords

Crossrefs

Cf. A045856.
Cf. A045784, A045786, A045787, A045788, A045789, A045791, A045792, A045793.

Programs

  • Mathematica
    Flatten[Table[Range[Ceiling[Sqrt[2 10^n]],Floor[Sqrt[3 10^n]]]^2,{n,4}]](* Harvey P. Dale, Jun 15 2011 *)

Formula

a(n) = A045856(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

A045859 Numbers whose square has initial digit '5'.

Original entry on oeis.org

23, 24, 71, 72, 73, 74, 75, 76, 77, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730
Offset: 1

Views

Author

Jeff Burch

Keywords

Comments

A000030(A000290(a(n))) = 5. [Reinhard Zumkeller, Mar 07 2010]

Links

Crossrefs

Cf. A045788.

Programs

  • Mathematica
    Rest[Table[If[First[IntegerDigits[n^2]] == 5, n, 0], {n, 1, 2500}]// Union] (* José María Grau Ribas, Feb 15 2010 *)
  • PARI
    isok(n) = digits(n^2)[1] == 5; \\ Michel Marcus, Dec 13 2017

A067475 Smallest n-digit square starting with 5.

Original entry on oeis.org

529, 5041, 50176, 501264, 5004169, 50013184, 500014321, 5000045521, 50000090449, 500000309449, 5000000100624, 50000002660624, 500000010062400, 5000000124641041, 50000000111812804, 500000001150395524
Offset: 3

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Links

Crossrefs

Cf. A035072 (roots), A045788, A067479 (2..9).

Programs

  • Maple
    seq(ceil(sqrt(5*10^(d-1)))^2, d=3..30); # Robert Israel, Sep 30 2016
  • Mathematica
    Table[Ceiling[Sqrt[5*10^n]]^2,{n,2,20}] (* Harvey P. Dale, Aug 23 2014 *)
  • PARI
    for(n=3,22,a=ceil(sqrt(5*10^(n-1)))^2; print(a))

Formula

a(n) = ceiling(sqrt(5*10^(n-1)))^2, n>2. - Rick L. Shepherd, Feb 18 2002

Extensions

More terms from Rick L. Shepherd, Feb 18 2002
Showing 1-10 of 11 results. Next

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