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.

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A191145 Increasing sequence S generated by these rules: a(1)=1, and if x is in S then both 3x+2 and 4x+3 are in S.

Original entry on oeis.org

1, 5, 7, 17, 23, 31, 53, 71, 95, 127, 161, 215, 287, 383, 485, 511, 647, 863, 1151, 1457, 1535, 1943, 2047, 2591, 3455, 4373, 4607, 5831, 6143, 7775, 8191, 10367, 13121, 13823, 17495, 18431, 23327, 24575, 31103, 32767, 39365, 41471, 52487, 55295, 69983, 73727, 93311, 98303, 118097, 124415, 131071, 157463, 165887
Offset: 1

Views

Author

Clark Kimberling, May 28 2011

Keywords

Comments

See A191113.

Links

Crossrefs

See A191113.

Programs

  • Haskell
    import Data.Set (singleton, deleteFindMin, insert)
a191145 n = a191145_list !! (n-1)
a191145_list = f $ singleton 1
   where f s = m : (f $ insert (3*m+2) $ insert (4*m+3) s')
             where (m, s') = deleteFindMin s
-- Reinhard Zumkeller, Jun 01 2011
  • Mathematica
    h = 3; i = 2; j = 4; k = 3; f = 1; g = 11;
a = Union[Flatten[NestList[{h # + i, j # + k} &, f, g]]]  (* A191145 *)
b = (a - 2)/3; c = (a - 3)/4; r = Range[1, 16000];
d = Intersection[b, r] (* A191145 *)
e = Intersection[c, r] (* A191145 *)
m = (a + 1)/2  (* A025613 *)

A191154 Integers in (A191115)/4; contains A191115 as a proper subsequence.

Original entry on oeis.org

1, 4, 7, 10, 16, 28, 34, 40, 46, 61, 64, 82, 88, 112, 118, 136, 142, 160, 184, 190, 244, 250, 256, 304, 328, 334, 352, 358, 406, 412, 448, 472, 478, 544, 547, 550, 568, 574, 640, 730, 736, 760, 766, 790, 976, 982, 1000, 1006, 1024, 1054, 1060, 1216, 1222, 1276, 1312, 1336, 1342, 1408, 1414, 1432, 1438
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191113 and A191115.

Crossrefs

Cf. A191115, A191113.

Programs

A191155 Integers in (2+A191116)/3; contains A191116 as a proper subsequence.

Original entry on oeis.org

1, 5, 13, 21, 29, 37, 53, 61, 85, 109, 149, 157, 181, 213, 245, 253, 285, 325, 341, 437, 445, 469, 541, 597, 629, 637, 725, 733, 757, 797, 853, 973, 981, 1013, 1021, 1301, 1309, 1333, 1365, 1405, 1621, 1749, 1781, 1789, 1821, 1877, 1885, 1909, 2165, 2173, 2197, 2269, 2333, 2389
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191113 and A191116.

Crossrefs

Cf. A191116, A191113.

Programs

A191157 Integers in (2+A191117)/3; contains A191117 as a proper subsequence.

Original entry on oeis.org

1, 6, 16, 26, 36, 46, 66, 76, 106, 136, 186, 196, 226, 266, 306, 316, 356, 406, 426, 546, 556, 586, 676, 746, 786, 796, 906, 916, 946, 996, 1066, 1216, 1226, 1266, 1276
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191117.

Crossrefs

Cf. A191117, A191113.

Programs

A191158 Integers in (-2+A191117)/4; contains A191117 as a proper subsequence.

Original entry on oeis.org

1, 6, 11, 16, 26, 46, 56, 66, 76, 101, 106, 136, 146, 186, 196, 226, 236, 266, 306, 316, 406, 416, 426, 506, 546, 556, 586, 596, 676, 686, 746, 786, 796, 906, 911, 916, 946, 956, 1066, 1216, 1226, 1266, 1276, 1316
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191117.

Crossrefs

Cf. A191117, A191113.

Programs

A191163 Integers in (3+A191119)/4; contains A191119 as a proper subsequence.

Original entry on oeis.org

1, 2, 5, 11, 14, 17, 38, 41, 50, 53, 65, 92, 119, 122, 146, 149, 158, 161, 194, 197, 209, 257, 335, 362, 365, 443, 446, 470, 473, 482, 485, 578, 581, 590, 593, 626, 629, 641, 770, 773, 785, 821, 833, 1025, 1064, 1091, 1094, 1307, 1334, 1337, 1415, 1418, 1442, 1445, 1454, 1457
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191119.

Crossrefs

Cf. A191119, A191113.

Programs

A191166 Integers in (1+A191121)/3; contains A191121 as a proper subsequence.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 8, 11, 14, 19, 20, 23, 27, 31, 32, 36, 41, 43, 55, 56, 59, 68, 75, 79, 80, 91, 92, 95, 100, 107, 122, 123, 127, 128, 163, 164, 167, 171, 176, 203, 219, 223, 224, 228, 235, 236, 239, 271, 272, 275, 284, 292, 299, 315, 319, 320, 363, 365, 367, 368, 379, 380, 383, 420, 427, 484, 487, 488, 491, 500, 507, 511, 512
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191113 and A191121.

Crossrefs

Cf. A191113, A191121.

Programs

A191167 Integers in (1+A191121)/4; contains A191121 as a proper subsequence.

Original entry on oeis.org

1, 2, 3, 5, 6, 7, 8, 11, 14, 15, 19, 20, 23, 24, 27, 31, 32, 41, 42, 43, 51, 55, 56, 59, 60, 68, 69, 75, 79, 80, 91, 92, 95, 96, 107, 122, 123, 127, 128, 132, 163, 164, 167, 168, 171, 176, 177, 203, 204, 213, 219, 223, 224, 235, 236, 239, 240, 271, 272, 275, 276, 284, 285, 299, 315, 319, 320, 363, 365, 366, 367, 368, 375, 379, 380, 383
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191121.

Crossrefs

Cf. A191121, A191113.

Programs

A191175 Integers in (-3+A191125)/4; contains A191125 as a proper subsequence.

Original entry on oeis.org

1, 2, 5, 7, 11, 14, 20, 23, 31, 32, 41, 47, 50, 59, 68, 83, 92, 95, 104, 122, 127, 131, 140, 167, 176, 185, 191, 203, 212, 239, 248, 275, 284, 293, 335, 365, 371, 374, 380, 383, 392, 419, 428, 455, 491, 500, 511, 527, 536, 563, 572, 608, 617, 671, 707, 716, 743, 752, 767, 815, 824, 833, 851, 860, 941, 959, 995, 1004, 1094, 1103
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191125, A191174.

Crossrefs

Cf. A191125, A191113, A191174.

Programs

A191177 Integers in (3+A191126)/4; contains A191126 as a proper subsequence.

Original entry on oeis.org

1, 3, 9, 21, 27, 33, 75, 81, 99, 105, 129, 183, 237, 243, 291, 297, 315, 321, 387, 393, 417, 513, 669, 723, 729, 885, 891, 939, 945, 963, 969, 1155, 1161, 1179, 1185, 1251, 1257, 1281
Offset: 1

Views

Author

Clark Kimberling, May 27 2011

Keywords

Comments

See A191126.

Crossrefs

Cf. A191126, A191113.

Programs

Previous Showing 41-50 of 80 results. Next

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