A306604 Number of perfect squares in the half-open interval [Pi^(n-1), Pi^n).
0, 1, 2, 2, 4, 8, 14, 23, 43, 75, 134, 236, 419, 743, 1316, 2333, 4135, 7329, 12992, 23026, 40813, 72338, 128218, 227259, 402806, 713955, 1265453, 2242956, 3975538, 7046456, 12489518, 22137096, 39236979, 69545736, 123266607, 218484372, 387253468, 686388899
Offset: 0
Keywords
Examples
a(4) = 4: in the interval [Pi^3, Pi^4) = [31.006..., 97.409...) = are four perfect squares: 36, 49, 64, 81.
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..4024
Programs
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Maple
a:= n-> (f-> f(n)-f(n-1))(i-> ceil(Pi^(i/2))): seq(a(n), n=0..42);
Comments