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 1-6 of 6 results.

A152739 Sqrt((even members of A118962)/2).

Original entry on oeis.org

1, 2, 3, 4, 5, 4, 6, 5, 4, 7, 8, 7, 6, 5, 9, 8, 7, 6, 10, 8, 11, 10, 9, 8, 7, 12, 11, 9, 8, 13, 11
Offset: 1

Views

Author

Paul Curtz, Dec 12 2008

Keywords

Comments

Contains one 1, one 2, one 3, three 4's, ....

Crossrefs

A137912.

Extensions

Edited by N. J. A. Sloane, Dec 13 2008

A152752 Terms of A118962 that are == 9 (mod 10), in the order of appearance.

Original entry on oeis.org

9, 9, 49, 49, 49, 49, 169, 169, 169, 169, 289, 169, 289, 169, 289, 169, 289, 169, 289, 169, 289, 529, 289, 529, 529, 289, 529, 289, 729, 529, 289, 729, 529, 289, 529, 729, 289, 529, 729, 529, 1089, 529, 729, 1089, 529, 729, 529, 1089, 1369, 529, 729, 1089
Offset: 1

Views

Author

Paul Curtz, Dec 12 2008

Keywords

Crossrefs

Cf. A118962, A273374.

Extensions

Edited by N. J. A. Sloane, Dec 13 2008
a(11) corrected and more terms from Georg Fischer, Oct 29 2024

A120682 Difference between legs of primitive Pythagorean triangles sorted first on hypotenuse, then long leg.

Original entry on oeis.org

1, 7, 7, 17, 1, 23, 31, 17, 49, 23, 47, 7, 41, 71, 41, 7, 79, 31, 97, 73, 17, 119, 127, 89, 47, 1, 113, 161, 49, 119, 73, 167, 23, 103, 31, 199, 161, 103, 89, 223, 151, 241, 191, 137, 71, 79, 217, 17, 137, 287, 233, 49, 287, 113, 119, 47, 281, 337, 23, 193, 217, 151, 97
Offset: 1

Views

Author

Lekraj Beedassy, Jun 24 2006

Keywords

Links

Crossrefs

Cf. A120681, A058529, A046086, A046087, A118961, A118962.

Programs

  • Mathematica
    A[s_Integer] := With[{s6 = StringPadLeft[ToString[s], 6, "0"]}, Cases[ Import["https://oeis.org/A" <> s6 <> "/b" <> s6 <> ".txt", "Table"], {, }][[All, 2]]];
A046086 = A@046086;
A046087 = A@046087;
a[n_] := A046087[[n]] - A046086[[n]];
a /@ Range[10000]; (* Jean-François Alcover, Mar 07 2020 *)

Formula

a(n) = A046087(n) - A046086(n) = A118962(n) - A118961(n).

Extensions

Edited and extended by Ray Chandler, Apr 10 2010

A014498 Varying radii of inscribed circles within primitive Pythagorean triples as a function of increasing values of hypotenuse.

Original entry on oeis.org

1, 2, 3, 3, 6, 5, 4, 10, 5, 12, 7, 15, 14, 6, 15, 20, 9, 21, 7, 18, 28, 11, 8, 21, 30, 35, 22, 9, 36, 24, 35, 13, 42, 33, 45, 10, 26, 40, 44, 15, 39, 11, 30, 45, 55, 56, 30, 63, 52, 12, 33, 66, 17, 63, 65, 72, 34, 13, 77, 60, 55, 70, 78, 19, 51, 14, 88, 39, 60, 77, 38, 91, 68, 90
Offset: 1

Views

Author

RALPH PETERSON (ralphp(AT)LIBRARY.NRL.NAVY.MIL)

Keywords

Links

Crossrefs

For ordered values of (a+b-c)/2 see A020888.
Cf. A046086, A046087, A020882, A087459.

Formula

Arrange all primitive Pythagorean triples a, b, c by value of hypotenuse c, then by long leg b; for n-th value of c, sequence gives radius of largest inscribed circle, (a+b-c)/2.
a(n) = (A046086(n) + A046087(n) - A020882(n))/2 = A087459(n)/2.
a(n) = sqrt(A118961(n)*A118962(n)/2). - Lekraj Beedassy, May 07 2006

Extensions

More terms from Asher Auel May 05 2000
Extended by Ray Chandler, Mar 09 2004

A118961 Difference between long leg and hypotenuse in primitive Pythagorean triangles, sorted on hypotenuse (A020882), then on long leg (A046087).

Original entry on oeis.org

1, 1, 2, 1, 8, 2, 1, 8, 1, 9, 2, 18, 8, 1, 9, 25, 2, 18, 1, 8, 32, 2, 1, 9, 25, 49, 8, 1, 32, 9, 25, 2, 49, 18, 50, 1, 8, 25, 32, 2, 18, 1, 9, 25, 50, 49, 8, 81, 32, 1, 9, 72, 2, 49, 50, 81, 8, 1, 98, 32, 25, 49, 72, 2, 18, 1, 121, 9, 25, 49, 8, 98, 32, 81, 121, 1, 9, 2, 25, 18, 128, 49, 50
Offset: 1

Views

Author

Lekraj Beedassy, May 07 2006

Keywords

Comments

Entries take only values appearing in A096033.

Links

Crossrefs

Cf. A118962, A020882, A046087, A096033, A120682.

Formula

a(n) = A020882(n) - A046087(n) = A118962(n) - A120682(n). - Ray Chandler, Nov 24 2019

Extensions

More terms from Joshua Zucker, May 11 2006

A087459 Values (X + Y - Z) sorted on Z, then on Y, where (X,Y,Z) is a primitive Pythagorean triple with X

Original entry on oeis.org

2, 4, 6, 6, 12, 10, 8, 20, 10, 24, 14, 30, 28, 12, 30, 40, 18, 42, 14, 36, 56, 22, 16, 42, 60, 70, 44, 18, 72, 48, 70, 26, 84, 66, 90, 20, 52, 80, 88, 30, 78, 22, 60, 90, 110, 112, 60, 126, 104, 24, 66, 132, 34, 126, 130, 144, 68, 26, 154, 120, 110, 140, 156, 38, 102, 28
Offset: 1

Views

Author

Lekraj Beedassy, Oct 23 2003

Keywords

Links

Crossrefs

For ordered values of (X + Y - Z) see A020887.
Cf. A046086, A046087, A020882, A014498.

Formula

a(n) = A046086(n) + A046087(n) - A020882(n) = 2*A014498(n).
a(n) = sqrt{2*A118961(n)*A118962(n)}. - Lekraj Beedassy, May 11 2006

Extensions

Corrected and extended by Ray Chandler, Oct 25 2003
Showing 1-6 of 6 results.

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

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