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 1-5 of 5 results.

A061087 a(n) = A061086(n) / n.

Original entry on oeis.org

11, 14, 109, 116, 1025, 1036, 1049, 1064, 1081, 10100, 10121, 10144, 10169, 10196, 10225, 10256, 10289, 10324, 10361, 10400, 10441, 100484, 100529, 100576, 100625, 100676, 100729, 100784, 100841, 100900, 100961, 101024, 101089, 101156, 101225, 101296, 101369
Offset: 1

Views

Author

Amarnath Murthy, Apr 19 2001

Keywords

Examples

			a(9) = 1081 = 9729/9, where 929 = 9^3.

References

  • Amarnath Murthy, A note on the Smarandache nn^m generalized sequence (to be published).
  • Felice Russo, A set of Smarandache Functions,sequences and conjectures in number theory, page 65.

Links

Crossrefs

Cf. A061086.

Programs

  • PARI
    a(n)={fromdigits(concat(digits(n), digits(n^3)))/n} \\ Andrew Howroyd, Nov 09 2019

Formula

a(n) = {n concatenated with n^3}/n.

Extensions

Terms a(12) and beyond from Andrew Howroyd, Nov 09 2019

A053061 a(n) is the decimal concatenation of n and n^2.

Original entry on oeis.org

11, 24, 39, 416, 525, 636, 749, 864, 981, 10100, 11121, 12144, 13169, 14196, 15225, 16256, 17289, 18324, 19361, 20400, 21441, 22484, 23529, 24576, 25625, 26676, 27729, 28784, 29841, 30900, 31961, 321024, 331089, 341156, 351225, 361296, 371369, 381444, 391521
Offset: 1

Views

Author

Felice Russo, Feb 25 2000

Keywords

References

  • Felice Russo, A set of new Smarandache functions, sequences and conjectures in number theory, American Research Press 2000

Links

Crossrefs

Cf. A020338, A055436, A061086, A175605, A253445.

Programs

  • Magma
    [Seqint(Intseq(n^2) cat Intseq(n)): n in [1..40]]; // Vincenzo Librandi, Jan 03 2015
  • Mathematica
    Table[FromDigits[Join[IntegerDigits[n],IntegerDigits[n^2]]],{n,40}] (* Harvey P. Dale, May 24 2012 *)
  • Python
    def a(n): return int(str(n) + str(n*n))
print([a(n) for n in range(1, 40)]) # Michael S. Branicky, Nov 24 2021

Formula

a(n) = n*(10^floor(2*log_10(n) + 1) + n). - Henry Bottomley, May 18 2000
a(n) ~ n^3. - Charles R Greathouse IV, Sep 19 2012

Extensions

More terms from James Sellers, Feb 28 2000

A239459 Concatenation of n^3 and n.

Original entry on oeis.org

11, 82, 273, 644, 1255, 2166, 3437, 5128, 7299, 100010, 133111, 172812, 219713, 274414, 337515, 409616, 491317, 583218, 685919, 800020, 926121, 1064822, 1216723, 1382424, 1562525, 1757626, 1968327, 2195228, 2438929, 2700030, 2979131, 3276832, 3593733
Offset: 1

Views

Author

Colin Barker, Mar 19 2014

Keywords

Comments

a(n) is divisible by n.

Examples

			a(13) = 219713 because 2197 = 13^3 and 13 = 13^1.

Links

Crossrefs

Cf. A053061, A055436, A061086, A239460, A239461.
Cf. A061087, A239462, A239463, A239464.

Programs

  • Mathematica
    Table[ToExpression[ToString[n^3]<>ToString[n]],{n,1,30}] (* Vaclav Kotesovec, Mar 24 2014 *)
Table[n^3*10^IntegerLength[n]+n,{n,40}] (* Harvey P. Dale, Sep 07 2020 *)
  • PARI
    vector(100, n, eval(Str(n^3, n)))

A239460 Concatenation of n^2 and n^3.

Original entry on oeis.org

11, 48, 927, 1664, 25125, 36216, 49343, 64512, 81729, 1001000, 1211331, 1441728, 1692197, 1962744, 2253375, 2564096, 2894913, 3245832, 3616859, 4008000, 4419261, 48410648, 52912167, 57613824, 62515625, 67617576, 72919683, 78421952, 84124389, 90027000
Offset: 1

Views

Author

Colin Barker, Mar 19 2014

Keywords

Comments

a(n) is divisible by n^2.

Examples

			a(9) = 81729 because 81 = 9^2 and 729 = 9^3.

Links

Crossrefs

Cf. A053061, A055436, A061086, A061087, A239459, A239461, A239462, A239463, A239464.

Programs

  • Mathematica
    Table[ToExpression[ToString[n^2]<>ToString[n^3]],{n,1,30}] (* Vaclav Kotesovec, Mar 24 2014 *)
Table[FromDigits[Join[Flatten[IntegerDigits[{n^2,n^3}]]]],{n,30}] (* Harvey P. Dale, Oct 27 2019 *)
  • PARI
    vector(100, n, eval(Str(n^2, n^3)))

A239461 Concatenation of n^3 and n^2.

Original entry on oeis.org

11, 84, 279, 6416, 12525, 21636, 34349, 51264, 72981, 1000100, 1331121, 1728144, 2197169, 2744196, 3375225, 4096256, 4913289, 5832324, 6859361, 8000400, 9261441, 10648484, 12167529, 13824576, 15625625, 17576676, 19683729, 21952784, 24389841, 27000900
Offset: 1

Views

Author

Colin Barker, Mar 19 2014

Keywords

Comments

a(n) is divisible by n^2.

Examples

			a(9) = 72981 because 729 = 9^3 and 81 = 9^2.

Links

Crossrefs

Cf. A053061, A055436, A061086, A239459, A239460.
Cf. A061087, A239462, A239463, A239464.

Programs

  • Mathematica
    Table[ToExpression[ToString[n^3]<>ToString[n^2]],{n,1,30}] (* Vaclav Kotesovec, Mar 24 2014 *)
Table[FromDigits[Flatten[IntegerDigits/@{n^3,n^2}]],{n,30}] (* Harvey P. Dale, Nov 28 2024 *)
  • PARI
    vector(100, n, eval(Str(n^3, n^2)))
Showing 1-5 of 5 results.

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

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