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 1-3 of 3 results.

A293726 a(n) = (1/2)*A293725(n).

Original entry on oeis.org

1, 5, 10, 12, 14, 16, 159, 164, 165, 167, 168, 304, 311, 318, 319, 337, 338, 339, 340, 341, 413, 414, 416, 418, 419, 421, 422, 423, 424, 425, 426, 428, 429, 438, 440, 442, 443, 449, 453, 454, 459, 460, 464, 465, 471, 472, 473, 474, 475, 481, 482, 483, 484
Offset: 1

Views

Author

Clark Kimberling, Oct 18 2017

Keywords

Crossrefs

Cf. A004539, A002103, A293726, A293727, A293728.

Programs

  • Mathematica
    z = 300; u = N[Sqrt[2], z]; d = RealDigits[u, 2][[1]];
t[n_] := Take[d, n]; c[0, n_] := Count[t[n], 0]; c[1, n_] := Count[t[n], 1];
Table[{n, c[0, n], c[1, n]}, {n, 1, 100}]
u = Select[Range[z], c[0, #] == c[1, #] &]  (* A293725 *)
u/2  (* A293726 *)
Select[Range[z], c[0, #] < c[1, #] &]  (* A293727 *)
Select[Range[z], c[0, #] > c[1, #] &]  (* A293728 *)

A293727 Numbers k such that c(k,0) < c(k,1), where c(k,d) = number of d's in the first k digits of the base-2 expansion of sqrt(2).

Original entry on oeis.org

1, 3, 4, 5, 6, 7, 8, 9, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91
Offset: 1

Views

Author

Clark Kimberling, Oct 18 2017

Keywords

Comments

This sequence together with A293725 and A293728 partition the nonnegative integers.

Links

Crossrefs

Cf. A004539, A002103, A293726, A293727, A293728.

Programs

  • Mathematica
    z = 300; u = N[Sqrt[2], z]; d = RealDigits[u, 2][[1]];
t[n_] := Take[d, n]; c[0, n_] := Count[t[n], 0]; c[1, n_] := Count[t[n], 1];
Table[{n, c[0, n], c[1, n]}, {n, 1, 100}]
u = Select[Range[z], c[0, #] == c[1, #] &]  (* A293725 *)
u/2  (* A293726 *)
Select[Range[z], c[0, #] < c[1, #] &]  (* A293727 *)
Select[Range[z], c[0, #] > c[1, #] &]  (* A293728 *)

A293728 Numbers k such that c(k,0) > c(k,1), where c(k,d) = number of d's in the first k digits of base-2 expansion of sqrt(2).

Original entry on oeis.org

11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 335, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 675, 677, 683, 684, 685, 686, 687, 688, 689, 690
Offset: 1

Views

Author

Clark Kimberling, Oct 18 2017

Keywords

Comments

This sequence together with A293725 and A293727 partition the nonnegative integers.

Links

Crossrefs

Cf. A004539, A002103, A293726, A293727, A293728.

Programs

  • Mathematica
    z = 300; u = N[Sqrt[2], z]; d = RealDigits[u, 2][[1]];
t[n_] := Take[d, n]; c[0, n_] := Count[t[n], 0]; c[1, n_] := Count[t[n], 1];
Table[{n, c[0, n], c[1, n]}, {n, 1, 100}]
u = Select[Range[z], c[0, #] == c[1, #] &]  (* A293725 *)
u/2  (* A293726 *)
Select[Range[z], c[0, #] < c[1, #] &]  (* A293727 *)
Select[Range[z], c[0, #] > c[1, #] &]  (* A293728 *)
Showing 1-3 of 3 results.

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

Content is available under The OEIS End-User License Agreement.