A166057 -id:A166057 - cp's OEIS frontend

A166092 Integers (all of the form 4k+3) organized into an array based on the number of times Sum_{i=1..u} J(i,4k+3) obtains value zero when u ranges from 1 to (4k+3), where J(i,k) is the Jacobi symbol.

3, 7, 11, 15, 319, 19, 23, 607, 35, 415, 31, 703, 59, 1639, 91, 39, 895, 63, 2359, 175, 43, 47, 1063, 103, 3995, 575, 127, 51, 55, 1103, 131, 5191, 631, 295, 83, 67, 71, 1135, 251, 5459, 731, 635, 223, 115, 27, 79, 1447, 279, 7567, 1175, 659, 735, 139

Offset: 0

Antti Karttunen, Oct 08 2009

Note: these are all of the form 4k+3, but still this is not permutation of A004767 (for the reason explained in A166091). Sequence A165603 gives the 4k+3 integers missing from this table.This square array A(row>=0, col>=0) is listed antidiagonally as A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ...

			The top left corner of the array:
3, 7, 15, 23, 31, 39, ...
11, 319, 607, 703, 895, 1063, ...
19, 35, 59, 63, 103, 131, ...
415, 1639, 2359, 3995, 5191, 5459, ...
91, 175, 575, 631, 731, 1175, ...

A. Karttunen, Table of n, a(n) for n = 0..10010

a(n) = A004767(A166091(n)). The leftmost column: A166096. The first five rows: A165469, A166053, A166055, A166057, A166059. Cf. also A112070.

A166056 Fourth row of A166091. Positions of 7's in A166086.

Original entry on oeis.org

103, 409, 589, 998, 1297, 1364, 1891, 1952, 2078, 2114, 2119, 2402, 2473, 2485, 2789, 3067, 3182, 3212, 3458, 3611, 3788, 3812, 4022, 4472, 4535, 4579, 5264, 5438, 5763, 5852, 5858, 5953, 6098, 6133, 6535, 6794, 6854, 7034, 7309, 7412

Offset: 1

Antti Karttunen, Oct 08 2009

nonn

See A166057.

cp's OEIS Frontend

A166092 Integers (all of the form 4k+3) organized into an array based on the number of times Sum_{i=1..u} J(i,4k+3) obtains value zero when u ranges from 1 to (4k+3), where J(i,k) is the Jacobi symbol.

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A166056 Fourth row of A166091. Positions of 7's in A166086.

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