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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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A376207 Numbers k such that ceiling(2*Pi*k/sqrt(2)) != ceiling(Pi/arcsin(sqrt(2)/(2*k))).

Original entry on oeis.org

1, 70, 569, 58704, 15770314
Offset: 1

Views

Author

Hugo Pfoertner, Sep 15 2024

Keywords

Comments

2*n/sqrt(2) > 1/arcsin(sqrt(2)/(2*n)) for all n > 0.
Limit_{x->oo} 2*x/sqrt(2) - 1/arcsin(sqrt(2)/(2*x)) = 0.

Examples

			  n    k=a(n)        2*Pi*k/sqrt(2)   Pi/arcsin(sqrt(2)/(2*k))
  1         1         4.44288293816             4.000000000000
  2        70       311.00180567109           310.996516371805
  3       569      2528.00039181211          2527.999741125982
  4     58704    260815.00000164873        260814.999995341832
  5  15770314  70065659.00000001744      70065658.999999993965

Crossrefs

Cf. A063448, A376066.
Cf. A120702.
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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