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 1-8 of 8 results.

A035076 a(n) is root of square starting with digit 9: first term of runs.

Original entry on oeis.org

30, 95, 300, 949, 3000, 9487, 30000, 94869, 300000, 948684, 3000000, 9486833, 30000000, 94868330, 300000000, 948683299, 3000000000, 9486832981, 30000000000, 94868329806, 300000000000, 948683298051, 3000000000000
Offset: 2

Views

Author

Patrick De Geest, Nov 15 1998

Keywords

Crossrefs

Cf. A067479 (squares), A017936.
Cf. 2: A035069, 3: A035070, 4: A035071, 5: A035072, 6: A035073, 7: A035074, 8: A035075.

Programs

  • Mathematica
    Ceiling[Sqrt[9*10^Range[2,30]]] (* Harvey P. Dale, Aug 07 2013 *)

Formula

a(n) = ceiling(sqrt(9*10^n)), n > 1.

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

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

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

A067473 Smallest n-digit square starting with 3.

Original entry on oeis.org

36, 324, 3025, 30276, 300304, 3003289, 30008484, 300017041, 3000081529, 30000318436, 300000484729, 3000000666601, 30000004655076, 300000032019081, 3000000027329536, 30000000084216561, 300000000542063364
Offset: 2

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Crossrefs

Cf. A035070 (roots), A045786, A067479 (2..9).

Programs

  • PARI
    for(n=2,25,a=ceil(sqrt(3*10^(n-1)))^2; print(a))

Formula

a(n) = ceiling(sqrt(3*10^(n-1)))^2, n>1. - Rick L. Shepherd, Feb 14 2002

Extensions

More terms from Rick L. Shepherd, Feb 14 2002

A067474 Smallest n-digit square starting with 4.

Original entry on oeis.org

4, 49, 400, 4096, 40000, 400689, 4000000, 40005625, 400000000, 4000056516, 40000000000, 400000591936, 4000000000000, 40000008597136, 400000000000000, 4000000100766916, 40000000000000000, 400000001222314089, 4000000000000000000, 40000000008389413041
Offset: 1

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Crossrefs

Cf. A000290, A035071 (roots), A045787, A067479 (2..9).

Programs

  • Mathematica
    nS[n_] := Module[{i = Floor[Sqrt[n]]}, If[i^2==n, i^2, (i + 1)^2]]; Table[nS[4 10^i], {i, 0, 25}]
  • PARI
    for(n=1,20,a=ceil(sqrt(4*10^(n-1)))^2; print(a))

Formula

a(n) = ceiling(sqrt(4*10^(n-1)))^2. - Rick L. Shepherd, Feb 18 2002

Extensions

More terms from Rick L. Shepherd, Feb 18 2002

A067476 Smallest n-digit square starting with 6.

Original entry on oeis.org

64, 625, 6084, 60025, 600625, 6002500, 60000516, 600005025, 6000051600, 60000012601, 600000512409, 6000001260100, 60000004765089, 600000028030404, 6000000011750889, 60000000353550625, 600000001175088900
Offset: 2

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Crossrefs

Cf. A035073 (roots), A045789, A067479 (2..9).

Programs

  • Mathematica
    Ceiling[Sqrt[6*10^Range[20]]]^2 (* Harvey P. Dale, Feb 28 2025 *)
  • PARI
    for(n=2,21,a=ceil(sqrt(6*10^(n-1)))^2; print(a))

Formula

a(n) = ceiling(sqrt(6*10^(n-1)))^2, n>1. - Rick L. Shepherd, Feb 18 2002

Extensions

More terms from Rick L. Shepherd, Feb 18 2002

A067477 Smallest n-digit square starting with 7.

Original entry on oeis.org

729, 7056, 70225, 700569, 7001316, 70006689, 700025764, 7000166889, 70000459776, 700001628921, 7000003645504, 70000012293201, 700000047060196, 7000000057996009, 70000000472817424, 700000000779640729
Offset: 3

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Crossrefs

Cf. A035074 (roots), A067472-A067479 (2..9).

Programs

  • PARI
    for(n=3,22,a=ceil(sqrt(7*10^(n-1)))^2; print(a))

Formula

a(n) = ceiling(sqrt(7*10^(n-1)))^2, n>2. - Rick L. Shepherd, Feb 18 2002

Extensions

More terms from Rick L. Shepherd, Feb 18 2002

A067478 Smallest n-digit square starting with 8.

Original entry on oeis.org

81, 841, 8100, 80089, 801025, 8003241, 80013025, 800041225, 8000050249, 80000162649, 800001447184, 8000004951184, 80000001609984, 800000042569984, 8000000160998400, 80000000297200369, 800000000000150481, 8000000001435765625, 80000000000015048100
Offset: 2

Views

Author

Amarnath Murthy, Feb 09 2002

Keywords

Crossrefs

Cf. A000290, A035075 (roots), A045791, A067479 (2..9).

Programs

  • Mathematica
    nS[n_] := Module[{lr = Floor[Sqrt[n]]}, If[lr^2==n, lr^2, (lr + 1)^2]]; Table[nS[8 10^i], {i, 0, 20}]

Formula

a(n) = ceiling(sqrt(8*10^(n-1)))^2. - Sascha Kurz, Mar 18 2002

Extensions

More terms from Harvey P. Dale, Feb 17 2002
Incorrect a(1) removed by Jon E. Schoenfield, Mar 21 2021
Showing 1-8 of 8 results.