A225137 Integer nearest to (4*((S(n))^(n-1))), where S(n) = Sum_{i=0..2} (C(i)*(log(log(A*(B+n^(8/3)))))^(2i)) (see coefficients A, B, C(i) in comments).
4, 25, 168, 1228, 9592, 78529, 664614, 5761262, 50847534, 455065829, 4118207819, 37608740621, 346064579205, 3204855540243, 29843276960952, 279224843911465, 2623449162422369, 24739367527714285, 234057667278287556, 2220873676061063755
Offset: 1
Keywords
Links
- Vladimir Pletser, Table of n, a(n) for n = 1..500
Programs
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Maple
A:= 3.8055077992656e+14: B:= 23.633281628346: C(0):= -196.69026129533: C(1):=27.625972037921: C(2):= -0.92494798392435: b:=n->log(log(A*(B+n^(8/3)))): c:=n->sum(C(i)*(b(n))^(2*i), i=0..2): seq(round(4*(c(n))^(n-1)), n=1..24);
Formula
a(n)= round(4*((Sum_{i=0..2} (C(i)*(log(log(A*(B+n^(8/3)))))^(2i)))^(n-1))).
Comments