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 1-4 of 4 results.

A360369 Intersection of A002485 and A360366.

Original entry on oeis.org

3, 22, 333, 355, 103993, 312689, 833719, 4272943, 5419351, 80143857, 245850922, 1068966896, 2549491779, 6167950454, 21053343141, 3587785776203, 8958937768937, 428224593349304, 6134899525417045, 30246273033735921, 66627445592888887, 430010946591069243, 2646693125139304345
Offset: 1

Views

Author

Stefano Spezia, Feb 04 2023

Keywords

Crossrefs

Cf. A002485, A360366.
Cf. A000796, A011557, A360367, A360370 (denominators).

Programs

  • Mathematica
    imax=34; Intersection[Numerator[Convergents[ContinuedFraction[Pi, imax]]], Table[Numerator[Rationalize[Pi, 10^(-i)]], {i,0,2*imax}]]

A360368 Positive integers k such that A360366(k) = A360366(k+1).

Original entry on oeis.org

1, 5, 20, 25, 36, 57, 76, 79, 83, 100, 120, 138, 146, 155, 167, 187, 201, 210, 224, 229, 230, 309, 363, 372, 393, 401, 406, 414, 418, 423, 427, 432, 433, 434, 443, 449, 453, 460, 470, 492, 495, 499, 512, 517, 542, 571, 581, 588, 591, 601, 637, 650, 675, 676, 685
Offset: 1

Views

Author

Stefano Spezia, Feb 04 2023

Keywords

Comments

Equivalently, positive integers k such that A360367(k) = A360367(k+1).

Crossrefs

Cf. A000796, A011557, A360366, A360367.

Programs

  • Mathematica
    b[i_]:=Rationalize[Pi,10^(-i)]; Select[Range[685],b[#]==b[#+1] &]

A360367 a(n) is the denominator of the rational number with the smallest denominator that lies within 1/10^n of Pi.

Original entry on oeis.org

1, 7, 7, 64, 106, 113, 113, 24175, 32085, 33102, 99532, 265381, 1360120, 1725033, 18610450, 25510582, 78256779, 340262731, 811528438, 1963319607, 6701487259, 6701487259, 413528890451, 554260122890, 1142027682075, 2851718461558, 2851718461558, 41633749241295, 91822653867264
Offset: 0

Views

Author

Stefano Spezia, Feb 04 2023

Keywords

Examples

			The rational numbers are 3, 22/7, 22/7, 201/64, 333/106, 355/113, 355/113, 75948/24175, ...

Links

Crossrefs

Cf. A000796, A002486, A011557.
Cf. A360366 (numerator), A360368, A360369, A360370.

Programs

  • Mathematica
    Table[Denominator[Rationalize[Pi,10^(-n)]],{n,0,28}]

A360370 Intersection of A002486 and A360367.

Original entry on oeis.org

1, 7, 106, 113, 33102, 99532, 265381, 1360120, 1725033, 25510582, 78256779, 340262731, 811528438, 1963319607, 6701487259, 1142027682075, 2851718461558, 136308121570117, 1952799169684491, 9627687726852338, 21208174623389167, 136876735467187340, 842468587426513207
Offset: 1

Views

Author

Stefano Spezia, Feb 04 2023

Keywords

Crossrefs

Cf. A002486, A360367.
Cf. A000796, A011557, A360366, A360369 (numerators).

Programs

  • Mathematica
    imax=34; Intersection[Denominator[Convergents[ContinuedFraction[Pi, imax]]], Table[Denominator[Rationalize[Pi, 10^(-i)]], {i,0,2*imax}]]
Showing 1-4 of 4 results.

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

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