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 1-5 of 5 results.

A084515 Partial sums of A084516.

Original entry on oeis.org

0, 1, 3, 6, 9, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 134, 139, 144, 149, 154, 159, 164, 169, 174, 179, 184, 189, 194, 199, 204, 209, 214, 219, 224, 229, 234, 239, 244, 249, 254, 259, 264, 269
Offset: 0

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Author

Antti Karttunen, Jun 02 2003

Keywords

Comments

For n>=1, (a(n-1)+1,a(n)) = (1,1),(2,3),(4,6),(7,9),(10,12),... gives the starting and ending offsets of the n-th site swap in the sequence A084511. Gives also the positions of 7s (ground states) in A084513.

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Crossrefs

Differs from A084525 first time at the 18th term, where A084515(18) = 64, while A084525(18) = 65.
Cf. also A084505.

A084510 a(0)=0, after which each n occurs A084516(n) times.

Original entry on oeis.org

0, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21
Offset: 0

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Author

Antti Karttunen, Jun 02 2003

Keywords

Comments

Also minimum i such that A084515(i) >= n. Tells that the n-th throw (n>=1) in A084511 belongs to the a(n)-th lexicographical solution A084512(a(n)).

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Crossrefs

Differs from A084520 first time at the 65th term, where A084510(65) = 19, while A084520(65) = 18.
Cf. A084500.

A084518 Partial sums of A084519. Positions of ones in the first differences of A084516.

Original entry on oeis.org

1, 2, 5, 18, 65, 238, 877, 3234, 11929, 44006, 162341, 598890, 2209361, 8150542, 30068125, 110924178, 409209865, 1509614198, 5569110677, 20544980154, 75792390209, 279605352286, 1031490797581, 3805267877730, 14037995932921
Offset: 1

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Author

Antti Karttunen, Jun 02 2003

Keywords

Links

Programs

  • Mathematica
    Accumulate[LinearRecurrence[{3,2,2},{1,1,3},30]] (* Harvey P. Dale, Jul 20 2013 *)

Formula

Empirical G.f.: x*(1-2*x-2*x^2)/((1-x)*(1-3*x-2*x^2-2*x^3)). [Colin Barker, Apr 17 2012]

A084506 The length of each successively larger 3-ball ground-state site swap given in A084501, i.e., the number of digits in each term of A084502.

Original entry on oeis.org

1, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
Offset: 1

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Author

Antti Karttunen, Jun 02 2003

Keywords

Links

Crossrefs

Partial sums: A084505.
Differs from A084556 first time at the 130th term, where A084506(130) = 6, while A084556(130) = 5.
Cf. A084516, A084526, A084500, A084508.

A084526 The length of each successively larger, indecomposable, 'prime' 3-ball ground-state site swap given in A084521, i.e., the number of digits in each term of A084522.

Original entry on oeis.org

1, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6
Offset: 1

Views

Author

Antti Karttunen, Jun 02 2003

Keywords

Links

Crossrefs

Partial sums: A084525. Differs from A084516 first time at the 18th term, where A084516(18) = 4, while A084526(18) = 5. Cf. also A084506, A084520, A084528.
Showing 1-5 of 5 results.

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