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.

A171178 Permutation of the natural numbers: 0 together with the partial sums of A171177.

Original entry on oeis.org

0, 2, 1, 6, 3, 5, 4, 12, 7, 11, 8, 10, 9, 20, 13, 19, 14, 18, 15, 17, 16, 30, 21, 29, 22, 28, 23, 27, 24, 26, 25, 42, 31, 41, 32, 40, 33, 39, 34, 38, 35, 37, 36, 56, 43, 55, 44, 54, 45, 53, 46, 52, 47, 51, 48, 50, 49, 72, 57, 71, 58, 70, 59, 69, 60, 68
Offset: 0

Views

Author

Omar E. Pol, Feb 23 2010

Keywords

Comments

a(n) is also the value of "x" and "y" of the n-th point (x,y), located on the infinite straight line (0,0),(1,1)..., that is intercepted by the path in structure of A171166.
For another version see A171175.

Links

Crossrefs

Cf. A000027, A005132, A171164, A161165, A161166, A171172, A171173, A171174, A171175, A171176, A171178, A172310.

A171175 Permutation of the natural numbers: 0 together with the partial sums of A171174.

Original entry on oeis.org

0, 2, 1, 5, 4, 6, 3, 10, 9, 11, 8, 12, 7, 17, 16, 18, 15, 19, 14, 20, 13, 26, 25, 27, 24, 28, 23, 29, 22, 30, 21, 37, 36, 38, 35, 39, 34, 40, 33, 41, 32, 42, 31, 50, 49, 51, 48, 52, 47, 53, 46, 54, 45, 55, 44, 56, 43, 65, 64, 66, 63, 67, 62, 68
Offset: 0

Views

Author

Omar E. Pol, Feb 23 2010

Keywords

Comments

a(n) is also the value of "x" and "y" of the n-th point (x,y), located on the infinite straight line (0,0),(1,1)..., that is intercepted by the path in structure of A171165.
For another version see A171178.

Links

Crossrefs

Cf. A000027, A005132, A171164, A161165, A161166, A171172, A171173, A171174, A171176, A171177, A171178.

A171173 Triangle read by rows in which row n lists A033627(n) together with the first 2n-1 positive integers.

Original entry on oeis.org

2, 1, 4, 1, 2, 3, 7, 1, 2, 3, 4, 5, 10, 1, 2, 3, 4, 5, 6, 7, 13, 1, 2, 3, 4, 5, 6, 7, 8, 9, 16, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 22, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 25, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 28, 1
Offset: 1

Views

Author

Omar E. Pol, Feb 23 2010

Keywords

Comments

The same as A171172 except the initial term.
Also, a(n) is the length of each component of the n-th L-toothpick added to the structure of A171165.
See also A171175, a permutation of the natural numbers.

Examples

			Triangle begins:
2,1,
4,1,2,3,
7,1,2,3,4,5,
10,1,2,3,4,5,6,7,
13,1,2,3,4,5,6,7,8,9,
16,1,2,3,4,5,6,7,8,9,10,11,
19,1,2,3,4,5,6,7,8,9,10,11,12,13,
22,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,

Links

Crossrefs

Cf. A000027, A033627, A172310, A171164, A161165, A161166, A171172, A171174, A171175, A171176, A171177, A171178.

Programs

  • Mathematica
    Join[{2,1},Flatten[Table[Flatten[{3n+1,Range[2n+1]}],{n,10}]]] (* Harvey P. Dale, Nov 24 2011 *)

A171176 Triangle read by rows in which row n lists 3n-1 together with the first 2n-1 positive integers, in reverse order.

Original entry on oeis.org

2, 1, 5, 3, 2, 1, 8, 5, 4, 3, 2, 1, 11, 7, 6, 5, 4, 3, 2, 1, 14, 9, 8, 7, 6, 5, 4, 3, 2, 1, 17, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 20, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 23, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 26, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1
Offset: 1

Views

Author

Omar E. Pol, Feb 23 2010

Keywords

Comments

a(n) is also the length of the n-th L-toothpick added to the structure of A171166.

Examples

			Triangle begins:
   2,  1;
   5,  3,  2,  1;
   8,  5,  4,  3,  2,  1;
  11,  7,  6,  5,  4,  3,  2,  1;
  14,  9,  8,  7,  6,  5,  4,  3,  2, 1;
  17, 11, 10,  9,  8,  7,  6,  5,  4, 3, 2, 1;
  20, 13, 12, 11, 10,  9,  8,  7,  6, 5, 4, 3, 2, 1;
  23, 15, 14, 13, 12, 11, 10,  9,  8, 7, 6, 5, 4, 3, 2, 1;
  26, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1;

Links

Crossrefs

Cf. A000027, A016789, A172310, A171164, A161165, A161166, A171172, A171173, A171174, A171175, A171177, A171178.
Cf. A132209 (row sums). - R. J. Mathar, Mar 01 2010

Programs

  • Mathematica
    Table[{3n-1,Reverse[Range[2n-1]]},{n,10}]//Flatten (* Harvey P. Dale, Jun 26 2022 *)

A171174 Triangle read by rows in which row n lists A033627(n) together with the first 2n-1 numbers <> 0 of A038608.

Original entry on oeis.org

2, -1, 4, -1, 2, -3, 7, -1, 2, -3, 4, -5, 10, -1, 2, -3, 4, -5, 6, -7, 13, -1, 2, -3, 4, -5, 6, -7, 8, -9, 16, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11, 19, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11, 12, -13, 22, -1, 2, -3, 4, -5, 6, -7, 8, -9, 10, -11, 12, -13, 14, -15, 25, -1, 2, -3, 4
Offset: 1

Views

Author

Omar E. Pol, Feb 23 2010

Keywords

Comments

Absolute values give A171173.
Note that the partial sums of this sequence gives A171175, a permutation of the natural numbers.

Examples

			Triangle begins:
2, -1,
4, -1,2,-3,
7, -1,2,-3,4,-5,
10,-1,2,-3,4,-5,6,-7,
13,-1,2,-3,4,-5,6,-7,8,-9,
16,-1,2,-3,4,-5,6,-7,8,-9,10,-11,
19,-1,2,-3,4,-5,6,-7,8,-9,10,-11,12,-13,
22,-1,2,-3,4,-5,6,-7,8,-9,10,-11,12,-13,14,-15,
25,-1,2,-3,4,-5,6,-7,8,-9,10,-11,12,-13,14,-15,16,-17,

Crossrefs

Cf. A033627, A038608, A172310, A171164, A161165, A161166, A171172, A171173, A171175, A171176, A171177, A171178.

A171177 Triangle read by rows in which row n lists 3n-1 together with the first 2n-1 numbers <> 0 of A038608, in reverse order.

Original entry on oeis.org

2, -1, 5, -3, 2, -1, 8, -5, 4, -3, 2, -1, 11, -7, 6, -5, 4, -3, 2, -1, 14, -9, 8, -7, 6, -5, 4, -3, 2, -1, 17, -11, 10, -9, 8, -7, 6, -5, 4, -3, 2, -1, 20, -13, 12, -11, 10, -9, 8, -7, 6, -5, 4, -3, 2, -1, 23, -15, 14, -13, 12, -11, 10, -9, 8, -7, 6, -5, 4, -3, 2, -1, 26, -17, 16, -15
Offset: 1

Views

Author

Omar E. Pol, Feb 23 2010

Keywords

Comments

Absolute values give A171176.
Note that the partial sums of this sequence give A171178, a permutation of the natural numbers.

Examples

			Triangle begins:
2, -1;
5, -3, 2, -1;
8, -5, 4, -3, 2, -1;
11,-7, 6, -5, 4, -3, 2, -1;
14,-9, 8, -7, 6, -5, 4, -3, 2, -1;
17,-11,10,-9, 8, -7, 6, -5, 4, -3, 2, -1;
20,-13,12,-11,10,-9, 8, -7, 6, -5, 4, -3, 2, -1;
23,-15,14,-13,12,-11,10,-9, 8, -7, 6, -5, 4, -3, 2, -1;
26,-17,16,-15,14,-13,12,-11,10,-9, 8, -7, 6, -5, 4, -3, 2, -1;

Crossrefs

Cf. A016789, A038608, A172310, A171164, A161165, A161166, A171172, A171173, A171174, A171175, A171176, A171178.
Showing 1-6 of 6 results.

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