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 1-9 of 9 results.

A137761 Distinct numbers in writing first denominator and then numerator (left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

1, 2, 3, 6, 5, 4, 12, 7, 20, 9, 30, 31, 11, 60, 49, 42, 13, 105, 71, 140, 209, 8, 56, 15, 168, 97, 280, 351, 72, 17, 252, 127, 504, 545, 630, 1471, 10, 90, 19, 360, 161, 840, 799, 1260, 2561, 110, 21, 495, 199, 1320, 1121, 2310, 4159, 2772, 10625
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 11 2008

Keywords

Examples

			1/1; --> 1
1/2, 1/2;  --> 2
1/3, 5/6, 1/3;  --> 3 6 5
1/4, 7/12, 7/12, 1/4;
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A046201; A046204; A046205; A046206; A046208; A046212; A137752; A137753; A137754; A137755; A137756; A137757; A137758; A137759, A137760.

A137762 Central elements in writing first the numerator and then the denominator (left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

1, 1, 5, 6, 31, 30, 209, 140, 1471, 630, 10625, 2772
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; --> 1 1
1/2, 1/2; -->
1/3, 5/6, 1/3; --> 5 6
1/4, 7/12, 7/12, 1/4; --> ...
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A046201; A046204; A046205; A046206; A046208; A046212; A137752; A137753; A137754; A137755; A137756; A137757; A137758; A137759, A137760; A137761.

Formula

a(2n-1)=A137763(2n); a(2n)=A137763(2n-1)=A046212(2n-1)=A056040(2n-1)=A100071(2n-1). - M. F. Hasler, Jan 25 2012

A137763 Central elements in writing first the denominator and then the numerator(left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

1, 1, 6, 5, 30, 31, 140, 209, 630, 1471, 2772, 10625
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; --> 1 1
1/2, 1/2; -->
1/3, 5/6, 1/3;  --> 6 5
1/4, 7/12, 7/12, 1/4; --> ...
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A046201, A046204, A046205, A046206, A046208, A046212, A137752, A137753, A137754, A137755, A137756, A137757, A137758, A137759, A137760, A137761, A137762.

Formula

a(2n) = A137762(2n-1); a(2n-1) = A137762(2n) = A046212(2n-1) = A056040(2n-1) = A100071(2n-1). - M. F. Hasler, Jan 25 2012

A137764 Elements to the right of the central elements in writing first the denominator and then the numerator(left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

2, 1, 3, 1, 12, 7, 4, 1, 20, 9, 5, 1, 60, 49, 30, 11, 6, 1, 105, 71, 42, 13, 7, 1, 280, 351, 168, 97, 56, 15, 8, 1, 504, 545, 252, 127, 72, 17, 9, 1, 1260, 2561, 840, 799, 360, 161, 90, 19, 10, 1, 2310, 4159, 1320, 1121, 495, 199, 110, 21, 11, 1
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; -->
1/2, 1/2;  --> 2 1
1/3, 5/6, 1/3;  --> 3 1
1/4, 7/12, 7/12, 1/4;  --> ...
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A046201; A046204; A046205; A046206; A046208; A046212; A137752; A137753; A137754; A137755; A137756; A137757; A137758; A137759, A137760; A137761; A137762; A137763.

A137765 Nontrivial numbers of the elements to the right of the central elements in writing first the denominator and then the numerator(left to right) of Leibniz's harmonic-like triangle. That is, the nontrivial elements of A137764.

Original entry on oeis.org

2, 3, 12, 7, 4, 20, 9, 5, 60, 49, 30, 11, 6, 105, 71, 42, 13, 7, 280, 351, 168, 97, 56, 15, 8, 504, 545, 252, 127, 72, 17, 9, 1260, 2561, 840, 799, 360, 161, 90, 19, 10, 2310, 4159, 1320, 1121, 495, 199, 110, 21, 11
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; -->
1/2, 1/2;  --> 2
1/3, 5/6, 1/3; --> 3
1/4, 7/12, 7/12, 1/4; --> ...
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A046201; A046204; A046205; A046206; A046208; A046212; A137752; A137753; A137754; A137755; A137756; A137757; A137758; A137759, A137760; A137761; A137762; A137763; A137764.

A137766 Elements to the right of the central element in writing first the numerator and then the denominator (left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

1, 2, 1, 3, 7, 12, 1, 4, 9, 20, 1, 5, 49, 60, 11, 30, 1, 6, 71, 105, 13, 42, 1, 7, 351, 280, 97, 168, 15, 56, 1, 8, 545, 504, 127, 252, 17, 72, 1, 9, 2561, 1260, 799, 840, 161, 360, 19, 90, 1, 10, 4159, 2310, 1121, 1320, 199, 495, 21, 110, 1, 11
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; -->
1/2, 1/2; --> 1 2
1/3, 5/6, 1/3; --> 1 3
1/4, 7/12, 7/12, 1/4; --> ...
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A137752.
Cf. A046201, A046204, A046205, A046206, A046208, A046212, A137752, A137753, A137754, A137755, A137756, A137757, A137758, A137759, A137760, A137761, A137762, A137763, A137764, A137765.

A137767 Nontrivial numbers of the elements to the right of the central elements in writing first the numerator and then the denominator (left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

2, 3, 7, 12, 4, 9, 20, 5, 49, 60, 11, 30, 6, 71, 105, 13, 42, 7, 351, 280, 97, 168, 15, 56, 8, 545, 504, 127, 252, 17, 72, 9, 2561, 1260, 799, 840, 161, 360, 19, 90, 10, 4159, 2310, 1121, 1320, 199, 495, 21, 110, 11
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; -->
1/2, 1/2; --> 2
1/3, 5/6, 1/3; --> 3
1/4, 7/12, 7/12, 1/4; --> 7 12
1/5, 9/20, 31/30, 9/20, 1/5; --> ...

Crossrefs

Cf. A137752.
Cf. A046201, A046204, A046205, A046206, A046208, A046212, A137752, A137753, A137754, A137755, A137756, A137757, A137758, A137759, A137760, A137761, A137762, A137763, A137764, A137765, A137766.

A137768 Nontrivial odd numbers in writing first the numerator and then the denominator (left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

3, 5, 3, 7, 7, 5, 9, 31, 9, 5, 11, 49, 49, 11, 7, 13, 71, 105, 209, 71, 105, 13, 7, 15, 97, 351, 351, 97, 15, 9, 17, 127, 545, 1471, 545, 127, 17, 9, 19, 161, 799, 2561, 2561, 799, 161, 19, 11, 21, 199, 495, 1121, 4159, 10625, 4159, 1121, 199, 495, 21, 11
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; -->
1/2, 1/2; -->
1/3, 5/6, 1/3;  --> 3 5 3
1/4, 7/12, 7/12, 1/4; --> 7 7
1/5, 9/20, 31/30, 9/20, 1/5; --> ...

Crossrefs

Cf. A137752.
Cf. A046212, A137752, A137753, A137754, A137755, A137756, A137757, A137758, A137759, A137760, A137761, A137762, A137763, A137764, A137765, A137766, A137767.

A137769 Nontrivial odd numbers in writing first the denominator and then the numerator (left to right) of Leibniz's harmonic-like triangle.

Original entry on oeis.org

3, 5, 3, 7, 7, 5, 9, 31, 9, 5, 11, 49, 49, 11, 7, 13, 105, 71, 209, 105, 71, 13, 7, 15, 97, 351, 351, 97, 15, 9, 17, 127, 545, 1471, 545, 127, 17, 9, 19, 161, 799, 2561, 2561, 799, 161, 19, 11, 21, 495, 199, 1121, 4159, 10625, 4159, 1121, 495, 199, 21, 11
Offset: 1

Views

Author

Mohammad K. Azarian, Feb 13 2008

Keywords

Examples

			1/1; -->
1/2, 1/2; -->
1/3, 5/6, 1/3; --> 3 5
1/4, 7/12, 7/12, 1/4; --> 7 7
1/5, 9/20, 31/30, 9/20, 1/5;

Crossrefs

Cf. A137752.
Cf. A046212, A137752, A137753, A137754, A137755, A137756, A137757, A137758, A137759, A137760, A137761, A137762, A137763, A137764, A137765, A137766, A137767: A137768.
Showing 1-9 of 9 results.

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