A376207 - OEIS

A376207

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

1, 70, 569, 58704, 15770314

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OFFSET

1,2

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.

LINKS

EXAMPLE

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

KEYWORD

nonn,more

AUTHOR

STATUS

approved