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.

A021132 Decimal expansion of 1/128.

Original entry on oeis.org

0, 0, 7, 8, 1, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 0

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Author

Keywords

Examples

			1/128 = 0.0078125.
		

Crossrefs

Cf. A021068 (1/64), A021260 (1/256).

Programs

  • Mathematica
    Join[{0, 0}, RealDigits[1/128, 10][[1]]] (* Alonso del Arte, Apr 16 2018 *)

Formula

Equals integral(x^3/sinh(2*Pi*x), {x, 0, infinity}). - Jean-François Alcover, Mar 20 2013

A021516 Decimal expansion of 1/512.

Original entry on oeis.org

0, 0, 1, 9, 5, 3, 1, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 0

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Author

Keywords

Comments

Note that this is 1/2^9, and 5^9 = 1953125. Also, 1/5^9 = 0.000000512. These are of course merely consequences of our base of numeration being 2 * 5. - Alonso del Arte, Apr 16 2018

Examples

			1/512 = 0.001953125.
		

Crossrefs

Cf. A021260 (1/256), A069181 (1/1024).

Programs

  • Mathematica
    Join[{0, 0}, RealDigits[1/512, 10][[1]]] (* Alonso del Arte, Apr 16 2018 *)

A069181 Decimal expansion of 1/1024.

Original entry on oeis.org

0, 0, 0, 9, 7, 6, 5, 6, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
Offset: 0

Views

Author

Rick L. Shepherd, Apr 10 2002

Keywords

Crossrefs

Cf. A021516 (1/512), A021260 (1/256), A021132 (1/128), A021068 (1/64), A021036 (1/32), A021020 (1/16), A020821 (1/8), A020773 (1/4), A020761 (1/2).

Programs

  • Mathematica
    Join[{0,0,0},RealDigits[1/1024,10,120][[1]]] (* or *) PadRight[ {0,0,0,9,7,6,5,6,2,5},120,{0}] (* Harvey P. Dale, Jan 26 2019 *)

A215633 Decimal expansion of Sum_{n>=1} 1/n^(n^prime(n)).

Original entry on oeis.org

1, 0, 0, 3, 9, 0, 6, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1
Offset: 1

Views

Author

Balarka Sen, Aug 18 2012

Keywords

Comments

Is this a finite sequence? (or equivalently, is this constant rational?)
Unlikely: the "apparent" rationality seems to be caused by the rapid growth of the denominators; one may instead speculate that the value is transcendental. - Joerg Arndt, Feb 05 2013
The constant is approximately 257/256 (see A021260).

Examples

			1.00390625000000000000000000... = 1 + 1/2^8 + 1/3^243 + 1/4^16384+...
		

Crossrefs

Cf. A062481.

Programs

  • PARI
    suminf(n=1,1/n^(n^prime(n)))
Showing 1-4 of 4 results.