A020789 Decimal expansion of 1/sqrt(32).

1, 7, 6, 7, 7, 6, 6, 9, 5, 2, 9, 6, 6, 3, 6, 8, 8, 1, 1, 0, 0, 2, 1, 1, 0, 9, 0, 5, 2, 6, 2, 1, 2, 2, 5, 9, 8, 2, 1, 2, 0, 8, 9, 8, 4, 4, 2, 2, 1, 1, 8, 5, 0, 9, 1, 4, 7, 0, 8, 4, 9, 6, 7, 2, 4, 8, 8, 4, 1, 5, 5, 9, 8, 0, 7, 7, 6, 3, 3, 7, 9, 8, 5, 6, 2, 9, 8, 4, 4, 1, 7, 9, 0, 9, 5, 5, 1, 9, 6

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Equals 0.176777... = 5*sqrt(2)/40, which is a tenth of sum_{n = 1 .. infinity} n^2*binomial(2n, n)/8^n [D. H. Lehmer, Am. Math. Monthly 92 (1985) 449]. - R. J. Mathar, Mar 04 2009

Examples

			0.176776695296636881100211090526212259821208984422118509147...
		

Links

• Ivan Panchenko, Table of n, a(n) for n = 0..1000
• Albert Einstein, Quantum theory of monatomic ideal gases (coefficient appears as 0.1768 in the first formula)
• Index entries for algebraic numbers, degree 2

Programs

Mathematica

RealDigits[N[1/Sqrt[32], 200]] (* Vladimir Joseph Stephan Orlovsky, May 30 2010 *)