A131857 -id:A131857 - cp's OEIS frontend

A131852 Imaginary part of the function z defined in A131851.

0, 0, 1, 1, 0, 0, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, -1, -1, 0, 0, -1, -1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0

Offset: 0

Reinhard Zumkeller, Jul 22 2007

sign

a(A000079(n)) = A056594(n+3);
a(A131855(n)) = 0; a(A131862(n)) > 0; a(A131857(n)) = 1; a(A131864(n)) < 0;
for n > 0: a(A098704(n+1)) = n and abs(a(m)) < n for m < A098704(n+1).

R. Zumkeller, Table of n, a(n) for n = 0..10000

z[0] = 0; z[n_] := z[n] = z[Floor[n/2]]*I + Mod[n, 2]; Table[z[n] // Im, {n, 0, 120}] (* Jean-François Alcover, Mar 02 2019 *)

A131855 Numbers m such that A131852(m) = 0.

Original entry on oeis.org

0, 1, 4, 5, 10, 11, 14, 15, 16, 17, 20, 21, 26, 27, 30, 31, 40, 41, 44, 45, 56, 57, 60, 61, 64, 65, 68, 69, 74, 75, 78, 79, 80, 81, 84, 85, 90, 91, 94, 95, 104, 105, 108, 109, 120, 121, 124, 125, 130, 131, 134, 135, 146, 147, 150, 151, 160, 161, 164, 165, 170, 171, 174

Offset: 1

Reinhard Zumkeller, Jul 22 2007

nonn

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A131852, A131853, A131854, A131857, A131862, A131864.

A131856 Numbers m such that z(m)=(0,1) with z as defined in A131851.

Original entry on oeis.org

2, 7, 22, 32, 37, 42, 47, 52, 62, 67, 82, 87, 97, 107, 112, 117, 122, 127, 162, 167, 182, 227, 242, 247, 262, 292, 302, 322, 327, 342, 352, 357, 362, 367, 372, 382, 422, 482, 487, 502, 512, 517, 522, 527, 532, 542, 552, 557, 572, 577, 587, 592, 597, 602, 607

Offset: 1

Reinhard Zumkeller, Jul 22 2007

nonn

Intersection of A131854 and A131857: A131851(a(n))=0, A131852(a(n))=1.

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A131851, A131853, A131858, A131860.

A131859 Numbers m such that A131851(m) = 1.

Original entry on oeis.org

1, 3, 9, 11, 16, 18, 21, 23, 24, 26, 29, 31, 33, 35, 41, 43, 48, 50, 53, 55, 56, 58, 61, 63, 81, 83, 89, 91, 113, 115, 121, 123, 129, 131, 137, 139, 144, 146, 149, 151, 152, 154, 157, 159, 161, 163, 169, 171, 176, 178, 181, 183, 184, 186, 189, 191, 209, 211, 217

Offset: 1

Reinhard Zumkeller, Jul 22 2007

nonn

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A131851, A131858, A131857, A131859, A131861, A131863.

A131860 Numbers m such that z(m)=(1,1) with z as defined in A131851.

Original entry on oeis.org

3, 18, 23, 33, 43, 48, 53, 58, 63, 83, 113, 123, 163, 178, 183, 243, 258, 263, 278, 288, 293, 298, 303, 308, 318, 323, 338, 343, 353, 363, 368, 373, 378, 383, 418, 423, 438, 483, 498, 503, 513, 523, 528, 533, 538, 543, 553, 568, 573, 593, 603, 633, 643, 658

Offset: 1

Reinhard Zumkeller, Jul 22 2007

nonn

Intersection of A131857 and A131859: A131851(a(n))=1, A131852(a(n))=1.

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Cf. A131851, A131853, A131856, A131858.

A131862 Numbers m such that A131852(m) > 0.

Original entry on oeis.org

2, 3, 6, 7, 18, 19, 22, 23, 32, 33, 34, 35, 36, 37, 38, 39, 42, 43, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 58, 59, 62, 63, 66, 67, 70, 71, 82, 83, 86, 87, 96, 97, 98, 99, 100, 101, 102, 103, 106, 107, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 122, 123, 126, 127

Offset: 1

Reinhard Zumkeller, Jul 22 2007

nonn

Cf. A131861, A131855, A131857, A131864.

A131864 Numbers m such that A131852(m) < 0.

Original entry on oeis.org

8, 9, 12, 13, 24, 25, 28, 29, 72, 73, 76, 77, 88, 89, 92, 93, 128, 129, 132, 133, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 148, 149, 152, 153, 154, 155, 156, 157, 158, 159, 168, 169, 172, 173, 184, 185, 188, 189, 192, 193, 196, 197, 200, 201, 202, 203

Offset: 1

Reinhard Zumkeller, Jul 22 2007

nonn

Cf. A131863, A131855, A131857, A131862.

cp's OEIS Frontend

A131852 Imaginary part of the function z defined in A131851.

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A131855 Numbers m such that A131852(m) = 0.

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A131856 Numbers m such that z(m)=(0,1) with z as defined in A131851.

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A131859 Numbers m such that A131851(m) = 1.

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A131860 Numbers m such that z(m)=(1,1) with z as defined in A131851.

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A131862 Numbers m such that A131852(m) > 0.

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A131864 Numbers m such that A131852(m) < 0.

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