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.

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A205717 (prime(k)-prime(j))/9, where the pairs (k,j) are given by A205712 and A205713.

Original entry on oeis.org

1, 2, 3, 2, 2, 2, 4, 2, 4, 5, 4, 2, 4, 6, 4, 2, 6, 2, 6, 4, 6, 2, 6, 4, 8, 4, 2, 9, 8, 6, 4, 8, 4, 2, 10, 6, 4, 2, 11, 10, 8, 6, 2, 10, 8, 4, 10, 6, 4, 2, 10, 8, 4, 12, 10, 8, 6, 12, 10, 6, 2, 14, 12, 10, 8, 2, 15, 14, 12, 10
Offset: 1

Views

Author

Clark Kimberling, Jan 31 2012

Keywords

Comments

For a guide to related sequences, see A205558.

Examples

			(See the example at A205712.)

Crossrefs

Cf. A204890, A205712, A205716, A205558.

Programs

  • Mathematica
    (See the program at A205712.)

A205725 (prime(k)-prime(j))/10, where the pairs (k,j) are given by A205720 and A205721.

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Jan 31 2012

Keywords

Comments

For a guide to related sequences, see A205558.

Examples

			(See the example at A205720.)

Crossrefs

Cf. A204890, A205720, A205558, A204724.

Programs

  • Mathematica
    (See the program at A205720.)

A205838 The least number j such that 2 divides s(k)-s(j), where k(n)=A205720(n).

Original entry on oeis.org

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

Views

Author

Clark Kimberling, Feb 01 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205587.)

Crossrefs

Cf. A204890, A205587, A205840.

Programs

  • Mathematica
    (See the program at A205587.)

A205844 s(k)-s(j), where the pairs (k,j) are given by A205842 and A205843, and s(k) denotes the (k+1)-st Fibonacci number.

Original entry on oeis.org

3, 6, 3, 12, 18, 33, 21, 54, 42, 21, 87, 84, 81, 141, 123, 231, 228, 225, 144, 375, 372, 369, 288, 144, 609, 597, 576, 555, 984, 966, 843, 1596, 1584, 1563, 1542, 987, 2583, 2571, 2550, 2529, 1974, 987, 4179, 4176, 4173, 4092, 3948, 3804, 6762
Offset: 1

Views

Author

Clark Kimberling, Feb 01 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205842.)

Crossrefs

Cf. A204890, A205842, A205845.

Programs

  • Mathematica
    (See the program at A205842.)

A205849 s(k)-s(j), where the pairs (k,j) are given by A205847 and A205848, and s(k) denotes the (k+1)-st Fibonacci number.

Original entry on oeis.org

4, 12, 8, 20, 16, 8, 32, 52, 88, 84, 76, 68, 136, 232, 228, 220, 212, 144, 376, 372, 364, 356, 288, 144, 608, 576, 984, 932, 1596, 1592, 1584, 1576, 1508, 1364, 1220, 2576, 2440, 4180, 4176, 4168, 4160, 4092, 3948, 3804, 2584, 6764, 6760, 6752
Offset: 1

Views

Author

Clark Kimberling, Feb 02 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205847.)

Crossrefs

Cf. A204890, A205847, A205850.

Programs

  • Mathematica
    (See the program at A205847.)

A205854 s(k)-s(j), where the pairs (k,j) are given by A205852 and A205853, and s(k) denotes the (k+1)-st Fibonacci number.

Original entry on oeis.org

5, 10, 5, 20, 50, 55, 110, 55, 230, 225, 220, 375, 605, 555, 985, 610, 1595, 1220, 610, 2550, 2495, 2440, 4180, 4160, 6760, 6710, 6155, 10945, 10925, 6765, 17710, 17690, 13530, 6765, 28655, 28280, 27670, 27060, 46365, 46360, 46355, 46135
Offset: 1

Views

Author

Clark Kimberling, Feb 02 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205852.)

Crossrefs

Cf. A204890, A205852, A205840.

Programs

  • Mathematica
    (See the program at A205852.)

A205859 s(k)-s(j), where the pairs (k,j) are given by A205857 and A205858, and s(k) denotes the (k+1)-st Fibonacci number.

Original entry on oeis.org

6, 12, 18, 54, 42, 84, 228, 144, 372, 288, 144, 576, 984, 966, 1596, 1584, 1542, 2550, 1974, 4176, 4092, 3948, 3804, 6762, 6744, 5778, 10944, 10938, 17706, 17622, 17478, 17334, 13530, 28656, 28644, 28602, 27060, 46224, 75024, 75012, 74970
Offset: 1

Views

Author

Clark Kimberling, Feb 02 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205857.)

Crossrefs

Cf. A204890, A205857, A205840.

Programs

  • Mathematica
    (See the program at A205857.)

A205864 s(k)-s(j), where the pairs (k,j) are given by A205862 and A205863, and s(k) denotes the (k+1)-st Fibonacci number.

Original entry on oeis.org

7, 21, 42, 21, 84, 231, 364, 343, 322, 609, 602, 966, 1596, 1589, 987, 2583, 2576, 1974, 987, 4179, 3948, 6762, 10941, 10857, 17710, 17703, 17101, 16114, 15127, 28644, 28623, 28602, 28280, 46347, 45381, 75012, 74991, 74970, 74648, 46368
Offset: 1

Views

Author

Clark Kimberling, Feb 02 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205862.)

Crossrefs

Cf. A204890, A205862, A205840.

Programs

  • Mathematica
    (See the program at A205862.)

A205866 Positions of multiples of 8 in A204922 (differences of Fibonacci numbers).

Original entry on oeis.org

14, 19, 21, 23, 37, 50, 56, 65, 67, 76, 78, 80, 86, 94, 109, 111, 112, 125, 131, 140, 142, 143, 152, 157, 159, 160, 169, 171, 173, 179, 185, 199, 211, 220, 222, 223, 236, 242, 248, 254, 263, 265, 266, 275, 277, 286, 288, 289, 298, 300, 302, 308, 314
Offset: 1

Views

Author

Clark Kimberling, Feb 02 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			In A204922=(1,2,1,4,3,2,7,6,5,3,12,11,...), multiples of 8 are in positions 14,19,21,...  See the example at A205867.

Links

Crossrefs

Cf. A204890, A205867, A205840.

Programs

  • Maple
    R:= select(t -> combinat:-fibonacci(t[1])-combinat:-fibonacci(t[2]) mod 8 =0, [seq(seq([i,j],i=0..11),j=0..11)]):
Res:= NULL:
for kk from 3 to 50 do
   km:= kk mod 12;
   n0:= 1 + (kk-2)*(kk-3)/2;
   js:= [$n0 ..(n0+kk-3)];
   Res:= Res, op( select(t -> member([kk, t+2-n0] mod 12,R), js));
od:
Res; # Robert Israel, Jul 27 2020
  • Mathematica
    (See the program at A205867.)

A205869 s(k)-s(j), where the pairs (k,j) are given by A205867 and A205868, and s(k) denotes the (k+1)-st Fibonacci number.

Original entry on oeis.org

8, 16, 8, 32, 88, 136, 232, 144, 376, 288, 144, 608, 576, 984, 1592, 1584, 1576, 2576, 2440, 4176, 4168, 4160, 2584, 6760, 6752, 6744, 5168, 2584, 10944, 10912, 10336, 17656, 28656, 28568, 28424, 28280, 46360, 46224, 43784, 75024, 74936
Offset: 1

Views

Author

Clark Kimberling, Feb 02 2012

Keywords

Comments

For a guide to related sequences, see A205840.

Examples

			(See the example at A205867.)

Crossrefs

Cf. A204890, A205867, A205840.

Programs

  • Mathematica
    (See the program at A205867.)
Previous Showing 41-50 of 70 results. Next

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