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 1-6 of 6 results.

A234802 Positions of 1's in A234323.

Original entry on oeis.org

14, 21, 25, 30, 32, 37, 40, 43, 48, 49, 52, 56, 59, 60, 65, 67, 69, 72, 75, 77, 79, 82, 84, 87, 88, 92, 94, 95, 98, 101, 103, 105, 107, 114, 116, 118, 121, 122, 124, 127, 129, 131, 133, 134, 138, 139, 141, 143, 146, 147, 153, 156, 157, 158, 161, 163, 165, 167, 173, 174, 176, 178, 179, 182
Offset: 1

Views

Author

Simon Plouffe and Robert G. Wilson v, Dec 30 2013

Keywords

Comments

A234802 is not A002410.

Crossrefs

Cf. A013629, A120401, A234323, A234800, A234803, A234804, A234805, A234806, A234807.

Programs

  • Mathematica
    f[n_] := Floor[ Im[ N[ ZetaZero[ n]] ]]; Union@ Array[f, 70]

A234800 First occurrence of n in A234323: Number of nontrivial zeros of the Riemann zeta function in the interval 1/2 + i[n,n+1).

Original entry on oeis.org

1, 14, 111, 5826, 85865, 4580009, 290820868
Offset: 0

Views

Author

Simon Plouffe and Robert G. Wilson v, Dec 30 2013

Keywords

Comments

k
0: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, ..., A120401
1: 14, 21, 25, 30, 32, 37, 40, 43, 48, 49, 52, 56, 59, 60, 65, ..., A234802
2: 111, 150, 169, 224, 231, 329, 357, 373, 415, 478, 493, 540, ..., A234803
3: 5826, 5978, 6494, 7563, 8106, 8942, 9601, 9856, 9976, 10000, ..., A234804
4: 85865, 193997, 245986, 276125, 283519, 297624, 298486, 311014, ..., A234805
5: 4580009, 7149902, 8120618, 10002309, 10597386, 11333337, 11432756, ..., A234806
6: 290820868, 317905108, 334924359, 386701579, 410462993, 430633085, ..., A234807
The occurrence of <0> is probably finite since the average height of a(n) is A234323 is log(n)/(2*Pi). This is a conjecture.

Links

Crossrefs

Cf. A234323, A002410, A122526.

Programs

  • Mathematica
    t = Table[0, {100}]; k = 1; cnt = 1; a = 0; t[[1]] = 14; While[k < 1000001, b = Floor[ Im[ N[ ZetaZero[ k]] ]]; If[b == a, cnt++; If[t[[cnt]] == 0, t[[cnt]] = b; Print[{cnt, b}]], cnt = 1]; a = b; k++]

A234803 Positions of 2's in A234323.

Original entry on oeis.org

111, 150, 169, 224, 231, 329, 357, 373, 415, 478, 493, 540, 547, 564, 575, 630, 637, 650, 677, 684, 711, 728, 750, 758, 775, 782, 790, 792, 814, 826, 844, 873, 899, 912, 931, 934, 939, 954, 963, 973, 976, 986, 1008, 1025, 1047, 1067, 1076, 1125, 1138, 1185, 1193, 1203, 1208, 1219, 1225, 1227, 1243, 1267, 1283, 1290, 1311, 1318, 1325, 1329
Offset: 1

Views

Author

Simon Plouffe and Robert G. Wilson v, Dec 30 2013

Keywords

Crossrefs

Cf. A234323, A234800, A234802, A234804, A234805, A234806, A234807.

Programs

  • Mathematica
    f[n_] := f[n] = Floor[ Im[ N[ ZetaZero[ n]] ]]; t = Array[f, 1000]; f@# & /@ Select[ Range@ 998, t[[#]] == t[[# + 1]] && t[[#]] != t[[# + 2]] &]

A234805 Positions of 4's in A234323.

Original entry on oeis.org

85865, 193997, 245986, 276125, 283519, 297624, 298486, 311014, 324550, 326735, 342567, 346060, 348353, 350475, 364132, 371213, 373568, 376125, 383297, 412928, 413942, 421142, 423280, 425350, 445146, 450413, 463344, 463538, 465666, 468824, 469554, 469612, 470257, 476538, 480942, 491132, 492647, 493942, 497448, 499444, 502879, 507119, 509870, 509996, 511026, 511065, 513096, 541068, 543035, 546712, 549211, 550367, 551174, 551413, 551475, 552888, 556847, 558843, 560783, 563429, 564865, 568352, 570574, 572556
Offset: 1

Views

Author

Simon Plouffe and Robert G. Wilson v, Dec 30 2013

Keywords

Crossrefs

Cf. A234323, A234800, A234802, A234803, A234804, A234806, A234807.

A234806 Positions of 5's in A234323.

Original entry on oeis.org

4580009, 7149902, 8120618, 10002309, 10597386, 11333337, 11432756, 11523546, 11979986, 12163356, 12211768, 12435067, 13365800, 13607716, 13623296, 13735746, 14258240, 14283555, 14655652, 14953474, 15256089, 15280497, 15439405, 15484096, 15634915, 15713217, 15788008, 16102082, 16298842, 16344160, 16408551, 16409633, 16429113, 16609090, 17077745, 17185900, 17204608, 17281267, 17314996, 17686525, 17786822, 17846853, 17925417, 18132365, 18321773, 18691881, 18740435, 19197304, 19334290, 19492181, 19976597, 20034275, 20076671, 20229660, 20266189, 20463382, 20567041, 20602671, 20647876, 20814650, 20882660, 21049227, 21074845, 21090890
Offset: 1

Views

Author

Simon Plouffe and Robert G. Wilson v, Dec 30 2013

Keywords

Crossrefs

Cf. A234323, A234800, A234802, A234803, A234804, A234805, A234807.

A234807 Positions of 6's in A234323.

Original entry on oeis.org

290820868, 317905108, 334924359, 386701579, 410462993, 430633085, 450386207, 496134209, 497139452, 506357969, 512009197, 569460772, 575975131, 591209927, 610822599, 614873651, 629703599, 631663805, 633469126, 639469209, 646979667, 653881935, 655868095, 667339573, 670551372, 671340268, 683785921, 685156087, 688027096, 691835240, 697292668, 699064544, 704612343, 726061538, 728089825, 728181784, 741074998, 744468818, 746608748, 757808994, 759905586, 765676755, 780529002, 786534273, 789003709, 796802580, 800377442, 801750239, 806387304, 812855326, 813420086, 813681557, 815491060, 825681191, 828760765, 829863622, 837043455, 839146137, 841626023, 841762448, 842201604, 842565345, 844942623, 848196704
Offset: 1

Views

Author

Simon Plouffe and Robert G. Wilson v, Dec 30 2013

Keywords

Crossrefs

Cf. A234323, A234800, A234802, A234803, A234804, A234805, A234806.
Showing 1-6 of 6 results.

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