Numerator of I(n) = Integral_{x=0..1/(4^n)} (1-sqrt(x))^2 dx; e.g., I(3) = 323/24576. The denominator is b(n) = 96*16^(n-1); e.g., b(3) = 24576.

A092841

Numerator of I(n) = Integral_{x=0..1/(4^n)} (1-sqrt(x))^2 dx; e.g., I(3) = 323/24576. The denominator is b(n) = 96*16^(n-1); e.g., b(3) = 24576.

Terms

    a(0) =1a(1) =11a(2) =67a(3) =323a(4) =1411a(5) =5891a(6) =24067a(7) =97283a(8) =391171a(9) =1568771a(10) =6283267a(11) =25149443a(12) =100630531a(13) =402587651a(14) =1610481667a(15) =6442188803a(16) =25769279491a(17) =103078166531a(18) =412314763267

External references