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A248198
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a(n) = ceiling(n^3*(Pi/2)).
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1
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2, 13, 43, 101, 197, 340, 539, 805, 1146, 1571, 2091, 2715, 3452, 4311, 5302, 6434, 7718, 9161, 10775, 12567, 14548, 16726, 19112, 21715, 24544, 27609, 30918, 34483, 38311, 42412, 46796, 51472, 56450, 61739, 67348, 73288, 79566, 86193, 93179, 100531
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OFFSET
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1,1
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COMMENTS
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a(n) is the ceiling of the area of a square with diagonal n times the circumference of a circle with diameter n. - Wesley Ivan Hurt, Oct 03 2014
a(n) is also the ceiling of the volume of a cylinder with radius n and height n/2. Equivalently, a(n) is the ceiling of the volume of a cylinder with diameter n and height 2*n. - Derek Orr, Oct 03 2014
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LINKS
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MAPLE
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MATHEMATICA
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PROG
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(Java) int a(int n) {return (int) Math.ceil(Math.pow(n, 3)*Math.PI/(2)); }
(PARI) vector(100, n, ceil(n^3*Pi/2)) \\ Derek Orr, Oct 03 2014
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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