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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A186776 Stanley Sequence S(0,2).

Original entry on oeis.org

0, 2, 3, 5, 9, 11, 12, 14, 27, 29, 30, 32, 36, 38, 39, 41, 81, 83, 84, 86, 90, 92, 93, 95, 108, 110, 111, 113, 117, 119, 120, 122, 243, 245, 246, 248, 252, 254, 255, 257, 270, 272, 273, 275, 279, 281, 282, 284, 324, 326, 327, 329, 333, 335, 336, 338, 351, 353, 354, 356, 360, 362, 363, 365, 729, 731, 732, 734, 738, 740
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.
In ternary these numbers have 0's and 1's everywhere, except the last digit is either 0 or 2. [Tanya Khovanova, Nov 16 2013]
a(n) = A005836(n) + A000035(n). [Tanya Khovanova, Nov 16 2013]

Links

Crossrefs

Cf. A185256, A004793, A033160, A033163.

Programs

Formula

Equals A004793(n)-1, also A033160(n)-2, also A033163(n)-3. Note that A004793 has a recurrence.

A033160 Begins with (2, 4); avoids 3-term arithmetic progressions.

Original entry on oeis.org

2, 4, 5, 7, 11, 13, 14, 16, 29, 31, 32, 34, 38, 40, 41, 43, 83, 85, 86, 88, 92, 94, 95, 97, 110, 112, 113, 115, 119, 121, 122, 124, 245, 247, 248, 250, 254, 256, 257, 259, 272, 274, 275, 277, 281, 283, 284, 286, 326, 328, 329, 331, 335, 337, 338, 340, 353, 355, 356, 358, 362
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

Links

Crossrefs

a(n) = A186776(n)+2 = A004793(n)+1 = A033163(n)-1. Cf. A185256.

Programs

A033163 Begins with (3, 5) and avoids 3-term arithmetic progressions.

Original entry on oeis.org

3, 5, 6, 8, 12, 14, 15, 17, 30, 32, 33, 35, 39, 41, 42, 44, 84, 86, 87, 89, 93, 95, 96, 98, 111, 113, 114, 116, 120, 122, 123, 125, 246, 248, 249, 251, 255, 257, 258, 260, 273, 275, 276, 278, 282, 284, 285, 287, 327, 329, 330, 332, 336, 338, 339, 341, 354, 356, 357, 359, 363
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

References

  • Iacobescu, F. 'Smarandache Partition Type and Other Sequences.' Bull. Pure Appl. Sci. 16E, 237-240, 1997.
  • H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, 170-183.

Links

Crossrefs

a(n) = A186776(n)+3 = A004793(n)+2 = A033160(n)+1. Cf. A185256.

A188053 Stanley Sequence S(0,1,4).

Original entry on oeis.org

0, 1, 4, 5, 11, 12, 14, 15, 31, 32, 34, 35, 40, 41, 43, 44, 89, 90, 92, 93, 98, 99, 101, 102, 116, 117, 119, 120, 125, 126, 128, 129, 259, 260, 262, 263, 268, 269, 271, 272, 286, 287, 289, 290, 295, 296, 298, 299, 340, 341, 343, 344, 349, 350, 352, 353, 367, 368, 370, 371, 376, 377, 379, 380, 761, 762, 764, 765, 770, 771
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.

Links

Crossrefs

Cf. A185256.

A033158 Begins with (1, 5); avoids 3-term arithmetic progressions.

Original entry on oeis.org

1, 5, 6, 8, 12, 13, 17, 24, 27, 32, 34, 38, 39, 45, 50, 57, 74, 79, 81, 86, 96, 100, 107, 125, 129, 132, 137, 144, 170, 189, 198, 204, 221, 222, 227, 228, 239, 248, 260, 270, 277, 285, 288, 303, 309, 311, 314, 320, 338, 386, 393, 398, 423, 435, 456, 467, 471, 492, 494, 500
Offset: 1

Views

Author

N. J. A. Sloane

Keywords

References

  • Iacobescu, F. 'Smarandache Partition Type and Other Sequences.' Bull. Pure Appl. Sci. 16E, 237-240, 1997.
  • H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, 170-183.

Links

Crossrefs

Equals A005487(n-1)+1.

Programs

  • Mathematica
    ss[s1_, M_] := Module[{n, chvec, swi, p, s2, i, j, t1, mmm}, t1 = Length[s1]; mmm = 1000; s2 = Table[s1, {t1 + M}] // Flatten; chvec = Array[0 &, mmm]; For[i = 1, i <= t1, i++, chvec[[s2[[i]]]] = 1]; (* get n-th term *) For[n = t1 + 1, n <= t1 + M, n++, (* try i as next term *) For[i = s2[[n - 1]] + 1, i <= mmm, i++, swi = -1; (* test against j-th term *) For[j = 1, j <= n - 2, j++, p = s2[[n - j]]; If[2*p - i < 0, Break[]]; If[chvec[[2*p - i]] == 1, swi = 1; Break[]]]; If[swi == -1, s2[[n]] = i; chvec[[i]] = 1; Break[]]]; If[swi == 1, Print["Error, no solution at n = ", n]]]; Table[s2[[i]], {i, 1, t1 + M}]]; A033158 = ss[{0, 4}, 80] + 1 (* Jean-François Alcover, Oct 08 2013, after Maple program in A185256 *)

A187843 Stanley Sequence S(0,5).

Original entry on oeis.org

0, 5, 6, 8, 9, 14, 15, 17, 27, 31, 32, 36, 38, 42, 43, 51, 65, 73, 74, 82, 89, 100, 101, 107, 109, 123, 152, 154, 165, 174, 177, 179, 190, 198, 211, 216, 220, 227, 233, 236, 260, 319, 328, 335, 336, 356, 361, 362, 370, 373, 406, 433, 444, 453, 465, 468, 470, 481, 490, 517, 521, 523, 528, 540, 541, 546, 562, 616, 696, 733
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.

Links

Crossrefs

Cf. A005836, A005487, A185256.

A188052 Stanley Sequence S(0,7).

Original entry on oeis.org

0, 7, 8, 10, 11, 17, 18, 21, 30, 33, 37, 38, 40, 51, 54, 61, 77, 79, 83, 86, 88, 96, 110, 119, 123, 130, 153, 157, 170, 173, 178, 179, 194, 197, 207, 211, 214, 219, 232, 240, 247, 251, 256, 282, 290, 344, 362, 365, 399, 409, 439, 444, 452, 455, 467, 488, 493, 496, 500, 506, 514, 520, 538, 541, 549, 555, 574, 575, 581, 597
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.

Links

Crossrefs

Cf. A185256.

A188054 Stanley Sequence S(0,1,5).

Original entry on oeis.org

0, 1, 5, 6, 8, 13, 14, 17, 19, 31, 35, 36, 40, 42, 46, 47, 60, 68, 82, 95, 97, 98, 102, 110, 111, 113, 121, 137, 139, 142, 146, 170, 233, 235, 240, 251, 254, 263, 281, 282, 285, 290, 297, 302, 303, 306, 318, 336, 342, 344, 374, 376, 393, 414, 417, 476, 487, 555, 584, 597, 614, 618, 621, 629, 633, 643, 660, 663, 685, 690
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.

Links

Crossrefs

Cf. A185256.

A188055 Stanley Sequence S(0,6).

Original entry on oeis.org

0, 6, 7, 9, 10, 15, 16, 19, 27, 33, 34, 36, 37, 42, 43, 46, 81, 87, 88, 90, 91, 96, 97, 100, 108, 114, 115, 117, 118, 123, 124, 127, 243, 249, 250, 252, 253, 258, 259, 262, 270, 276, 277, 279, 280, 285, 286, 289, 324, 330, 331, 333, 334, 339, 340, 343, 351, 357, 358, 360, 361, 366, 367, 370, 729, 735, 736, 738, 739, 744, 745
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.

Links

Crossrefs

Cf. A185256.

A188056 Stanley Sequence S(0,8).

Original entry on oeis.org

0, 8, 9, 11, 12, 17, 19, 20, 33, 35, 36, 41, 42, 44, 45, 56, 83, 85, 86, 91, 94, 98, 106, 107, 109, 115, 117, 142, 191, 208, 216, 220, 227, 229, 233, 235, 236, 244, 247, 257, 260, 266, 269, 271, 277, 289, 292, 308, 314, 332, 335, 344, 406, 465, 489, 516, 517, 544, 550, 562, 588, 589, 591, 600, 601, 606, 610, 615, 618, 627
Offset: 1

Views

Author

N. J. A. Sloane, Mar 19 2011

Keywords

Comments

See A185256.

Links

Crossrefs

Cf. A185256.
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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