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 1-3 of 3 results.

A166050 a(n) = Sum_{i=0..(2n+1)} J(i,12n+7), where J(i,k) is the Jacobi symbol.

Original entry on oeis.org

1, -1, 3, -1, 4, -1, 5, -2, 5, -2, 5, -3, 7, -1, 2, -2, 9, -3, 7, -2, 6, -4, 11, -3, 8, -3, 10, -3, 1, -4, 9, -3, 14, -2, 10, -2, 15, -6, 7, 0, 7, -3, 14, -5, 14, -3, 16, -5, 8, -4, 13, -5, 13, -3, 12, -4, 18, -5, 14, -4, 13, -5, 15, -4, 0, -5, 16, -7, 9, -6, 0, -7, 22, -3, 16, -3
Offset: 0

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Author

Antti Karttunen, Oct 13 2009. Erroneous name corrected Oct 20 2009

Keywords

Comments

The height at the 1/6 point of "Jacobi-bridge/path", computed for each odd integer of the form 12n+7.

Crossrefs

Bisections: A166268, A166269 (see conjectures there). Cf. A017605. Scheme-code for jacobi-symbol is given at A165601.

A166271 Bisection 2n+1 of A165460.

Original entry on oeis.org

2, 2, 2, 4, 4, 6, 2, 4, 6, 4, 8, 6, 6, 6, 8, 6, 4, 4, 12, 0, 6, 10, 6, 10, 8, 10, 6, 8, 10, 8, 10, 8, 10, 14, 12, 14, 6, 6, 0, 8, 16, 8, 8, 10, 4, 12, 10, 12, 14, 16, 12, 8, 12, 18, 12, 16, 12, 8, 8, 8, 22, 14, 8, 22, 8, 18, 12, 14, 16, 4, 22, 10, 10, 16, 16, 20, 12, 10, 20, 12, 16, 12
Offset: 0

Views

Author

Antti Karttunen, Oct 13 2009

Keywords

Comments

Conjecture: a(n) = -2 * A166269(n).

Crossrefs

a(n) = A165460(A005408(n)).

A166273 Bisection 2n+1 of A165605.

Original entry on oeis.org

3, 3, 3, 6, 6, 9, 3, 6, 9, 6, 12, 9, 9, 9, 12, 9, 6, 6, 18, 0, 9, 15, 9, 15, 12, 15, 9, 12, 15, 12, 15, 12, 15, 21, 18, 21, 9, 9, 0, 12, 24, 12, 12, 15, 6, 18, 15, 18, 21, 24, 18, 12, 18, 27, 18, 24, 18, 12, 12, 12, 33, 21, 12, 33, 12, 27, 18, 21, 24, 6, 33, 15, 15, 24, 24, 30
Offset: 0

Views

Author

Antti Karttunen, Oct 13 2009

Keywords

Comments

Conjecture: a(n) = -3 * A166269(n).

Crossrefs

a(n) = A165605(A005408(n)).
Showing 1-3 of 3 results.