A166091 -id:A166091 - cp's OEIS frontend

A166052 Second row of A166091. Positions of 3's in A166086.

2, 79, 151, 175, 223, 265, 275, 283, 361, 373, 571, 595, 635, 805, 991, 1063, 1153, 1201, 1285, 1301, 1351, 1423, 1445, 1495, 1561, 1621, 1651, 1699, 1735, 1873, 1981, 2125, 2275, 2281, 2413, 2545, 2653, 2683, 3013, 3301, 3331, 3385, 3535

Offset: 1

Antti Karttunen, Oct 08 2009

nonn

See A166053.

A166054 Third row of A166091. Positions of 5's in A166086.

Original entry on oeis.org

4, 8, 14, 15, 25, 32, 62, 69, 74, 92, 98, 104, 123, 177, 188, 224, 231, 235, 242, 272, 284, 285, 301, 339, 398, 434, 435, 447, 452, 482, 494, 501, 554, 602, 605, 608, 609, 662, 663, 675, 692, 711, 717, 728, 734, 795, 811, 812, 825, 854, 879, 902, 914, 919

Offset: 1

Antti Karttunen, Oct 08 2009

nonn

See A166055.

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.

A166058 Fifth row of A166091. Positions of 9's in A166086.

Original entry on oeis.org

22, 43, 143, 157, 182, 293, 397, 543, 643, 764, 799, 823, 893, 1043, 1143, 1173, 1484, 1489, 1535, 1643, 1793, 1814, 1845, 1893, 1903, 2043, 2293, 2299, 2372, 2393, 2533, 2543, 2601, 2637, 2651, 2702, 2738, 2793, 3143, 3293, 3308, 3392

Offset: 1

Antti Karttunen, Oct 08 2009

nonn

See A166059.

A166094 Leftmost column of A166091.

Original entry on oeis.org

0, 2, 4, 103, 22, 10, 12, 16, 6, 52, 122, 115, 56, 40, 18, 112, 86, 205, 30, 50, 70, 100, 76, 162, 93, 80, 66, 108, 102, 146, 166, 274, 312, 170, 128, 208, 655, 206, 295, 198, 120, 156, 264, 176, 96, 246, 408, 190, 85, 476, 306, 260, 180, 414, 342, 508, 380

Offset: 0

Antti Karttunen, Oct 08 2009

nonn

a(n) gives the least i, for which A166086(i) = 2n+1.

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.

Original entry on oeis.org

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.

cp's OEIS Frontend

A166052 Second row of A166091. Positions of 3's in A166086.

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A166054 Third row of A166091. Positions of 5's in A166086.

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

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A166058 Fifth row of A166091. Positions of 9's in A166086.

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A166094 Leftmost column of A166091.

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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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