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 1-7 of 7 results.

A331521 a(n) is the least positive k such that A002645(n) - k^4 is a fourth power.

Original entry on oeis.org

1, 1, 2, 1, 3, 2, 4, 1, 2, 4, 6, 3, 5, 2, 8, 7, 2, 4, 6, 9, 4, 10, 5, 12, 8, 1, 3, 5, 13, 11, 2, 4, 14, 5, 7, 11, 14, 2, 6, 8, 10, 16, 12, 1, 3, 9, 14, 10, 17, 16, 2, 4, 8, 15, 10, 17, 1, 7, 11, 13, 18, 6, 8, 12, 3, 7, 19, 9, 11, 2, 19, 16, 1, 9, 13, 12, 23
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A002645(n), are:
  n   a(n)  A002645(n)
  --  ----  ----------------
   1     1     2 = 1^4 + 1^4
   2     1    17 = 1^4 + 2^4
   3     2    97 = 2^4 + 3^4
   4     1   257 = 1^4 + 4^4
   5     3   337 = 3^4 + 4^4
   6     2   641 = 2^4 + 5^4
   7     4   881 = 4^4 + 5^4
   8     1  1297 = 1^4 + 6^4
   9     2  2417 = 2^4 + 7^4
  10     4  2657 = 4^4 + 7^4

Links

Crossrefs

See A331435 for similar sequences.
Cf. A000583, A002645.

Programs

  • PARI
    See Links section.

A331522 a(n) is the least positive k such that A078523(n) - k^2 is a sixth power.

Original entry on oeis.org

1, 2, 4, 6, 3, 5, 10, 7, 14, 13, 16, 17, 20, 24, 23, 26, 2, 10, 20, 33, 22, 35, 36, 37, 40, 32, 43, 45, 47, 54, 55, 56, 50, 57, 52, 58, 9, 11, 65, 66, 19, 25, 29, 73, 74, 75, 45, 84, 55, 80, 59, 61, 90, 93, 94, 71, 97, 75, 98, 79, 81, 100, 85, 110, 91, 110, 95
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A078523(n), are:
  n   a(n)  A078523(n)
  --  ----  ----------------
   1     1    2 =  1^2 + 1^6
   2     2    5 =  2^2 + 1^6
   3     4   17 =  4^2 + 1^6
   4     6   37 =  6^2 + 1^6
   5     3   73 =  3^2 + 2^6
   6     5   89 =  5^2 + 2^6
   7    10  101 = 10^2 + 1^6
   8     7  113 =  7^2 + 2^6
   9    14  197 = 14^2 + 1^6
  10    13  233 = 13^2 + 2^6

Links

Crossrefs

See A331435 for similar sequences.
Cf. A001014, A078523.

Programs

  • PARI
    See Links section.

A331523 a(n) is the least positive k such that A100271(n) - k^3 is a fourth power.

Original entry on oeis.org

1, 1, 3, 2, 1, 3, 7, 8, 7, 1, 13, 6, 15, 15, 12, 16, 16, 2, 10, 20, 18, 21, 7, 16, 9, 22, 13, 22, 23, 24, 20, 10, 25, 12, 25, 22, 26, 27, 11, 26, 28, 30, 27, 31, 22, 31, 34, 30, 35, 36, 28, 31, 37, 8, 37, 16, 27, 36, 35, 40, 1, 3, 13, 31, 37, 28, 33, 42, 21
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A100271(n), are:
  n   a(n)  A100271(n)
  --  ----  ----------------
   1     1     2 = 1^3 + 1^4
   2     1    17 = 1^3 + 2^4
   3     3    43 = 3^3 + 2^4
   4     2    89 = 2^3 + 3^4
   5     1   257 = 1^3 + 4^4
   6     3   283 = 3^3 + 4^4
   7     7   359 = 7^3 + 2^4
   8     8   593 = 8^3 + 3^4
   9     7   599 = 7^3 + 4^4
  10     1  1297 = 1^3 + 6^4

Links

Crossrefs

See A331435 for similar sequences.
Cf. A000583, A100271.

Programs

  • PARI
    See Links section.

A331524 a(n) is the least positive k such that A006686(n) - k^8 is an eighth power.

Original entry on oeis.org

1, 1, 1, 5, 3, 7, 2, 8, 3, 8, 9, 13, 4, 4, 17, 7, 17, 2, 8, 3, 5, 20, 7, 11, 17, 8, 23, 19, 10, 20, 3, 11, 17, 10, 22, 19, 14, 22, 17, 21, 25, 11, 13, 23, 27, 8, 32, 25, 33, 6, 25, 35, 7, 23, 31, 10, 37, 16, 18, 39, 5, 7, 42, 41, 30, 36, 5, 11, 8, 18, 30, 36
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A006686(n), are:
  n   a(n)  A006686(n)
  --  ----  -----------------------
   1     1           2 = 1^8 +  1^8
   2     1         257 = 1^8 +  2^8
   3     1       65537 = 1^8 +  4^8
   4     5     2070241 = 5^8 +  6^8
   5     3   100006561 = 3^8 + 10^8
   6     7   435746497 = 7^8 + 12^8
   7     2   815730977 = 2^8 + 13^8
   8     8   832507937 = 8^8 + 13^8
   9     3  1475795617 = 3^8 + 14^8
  10     8  2579667841 = 8^8 + 15^8

Links

Crossrefs

See A331435 for similar sequences.
Cf. A001016, A006686.

Programs

  • PARI
    See Links section.

A331525 a(n) is the least positive k such that A100272(n) - k^2 is a fifth power.

Original entry on oeis.org

1, 2, 4, 6, 3, 10, 9, 14, 15, 8, 20, 14, 16, 24, 20, 26, 22, 27, 26, 3, 5, 13, 15, 36, 34, 23, 40, 27, 33, 44, 37, 51, 54, 45, 56, 18, 58, 24, 53, 63, 55, 57, 64, 66, 36, 69, 42, 63, 74, 75, 73, 82, 84, 66, 86, 90, 93, 92, 31, 94, 35, 78, 99, 49, 84, 100, 97
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A100272(n), are:
  n   a(n)  A100272(n)
  --  ----  ----------------
   1     1    2 =  1^2 + 1^5
   2     2    5 =  2^2 + 1^5
   3     4   17 =  4^2 + 1^5
   4     6   37 =  6^2 + 1^5
   5     3   41 =  3^2 + 2^5
   6    10  101 = 10^2 + 1^5
   7     9  113 =  9^2 + 2^5
   8    14  197 = 14^2 + 1^5
   9    15  257 = 15^2 + 2^5
  10     8  307 =  8^2 + 3^5

Links

Crossrefs

See A331435 for similar sequences.
Cf. A000584, A100272.

Programs

  • PARI
    See Links section.

A331526 a(n) is the least positive k such that A100273(n) - k^3 is a fifth power.

Original entry on oeis.org

1, 3, 5, 2, 4, 9, 3, 7, 9, 13, 15, 8, 16, 14, 19, 5, 20, 21, 13, 22, 17, 25, 4, 10, 27, 16, 18, 29, 24, 33, 31, 35, 4, 39, 8, 39, 36, 20, 22, 41, 42, 28, 44, 46, 7, 13, 19, 47, 48, 38, 46, 49, 40, 50, 48, 33, 39, 2, 6, 8, 12, 56, 26, 52, 62, 63, 58, 23, 64, 31
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A100273(n), are:
  n   a(n)  A100273(n)
  --  ----  -----------------
   1     1     2 =  1^3 + 1^5
   2     3    59 =  3^3 + 2^5
   3     5   157 =  5^3 + 2^5
   4     2   251 =  2^3 + 3^5
   5     4   307 =  4^3 + 3^5
   6     9   761 =  9^3 + 2^5
   7     3  1051 =  3^3 + 4^5
   8     7  1367 =  7^3 + 4^5
   9     9  1753 =  9^3 + 4^5
  10    13  3221 = 13^3 + 4^5

Links

Crossrefs

See A331435 for similar sequences.
Cf. A000584, A100273.

Programs

  • PARI
    See Links section.

A331527 a(n) is the least positive k such that A100274(n) - k^4 is a fifth power.

Original entry on oeis.org

1, 2, 3, 4, 4, 6, 8, 6, 7, 10, 2, 8, 16, 17, 11, 20, 20, 20, 12, 22, 22, 7, 18, 24, 24, 4, 14, 23, 28, 4, 8, 29, 16, 30, 29, 30, 31, 5, 7, 9, 19, 30, 33, 26, 23, 34, 34, 6, 35, 36, 35, 37, 5, 7, 13, 31, 38, 38, 29, 40, 37, 41, 3, 9, 42, 39, 42, 41, 8, 43, 46
Offset: 1

Views

Author

Rémy Sigrist, Jan 19 2020

Keywords

Examples

			The first terms, alongside A100274(n), are:
  n   a(n)  A100274(n)
  --  ----  ------------------
   1     1      2 =  1^4 + 1^5
   2     2     17 =  2^4 + 1^5
   3     3    113 =  3^4 + 2^5
   4     4    257 =  4^4 + 1^5
   5     4    499 =  4^4 + 3^5
   6     6   1297 =  6^4 + 1^5
   7     8   4339 =  8^4 + 3^5
   8     6   4421 =  6^4 + 5^5
   9     7  10177 =  7^4 + 6^5
  10    10  10243 = 10^4 + 3^5

Links

Crossrefs

See A331435 for similar sequences.
Cf. A000584, A100274.

Programs

  • PARI
    See Links section.
Showing 1-7 of 7 results.

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