A249283 Decimal expansion of K(3/4), where K is the complete elliptic integral of the first kind.

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

Offset: 1

Author

Jean-François Alcover, Oct 24 2014

Keywords

• nonn
• cons
• easy

Examples

			2.15651564749964323543867499880032202886411021649282536...
		

Links

• Steven R. Finch, Gergonne-Schwarz Surface, April 12, 2013. [Cached copy, with permission of the author]
• Eric Weisstein's World of Mathematics, Complete Elliptic Integral of the First Kind.

Crossrefs

Cf. A093341 (K(1/2)), A249282 (K(1/4)), A000796, A068521.

Programs

Maple

evalf(EllipticK(sqrt(3)/2), 120); # Vaclav Kotesovec, Apr 22 2015

Mathematica

RealDigits[EllipticK[3/4], 10, 102] // First

PARI

ellK(sqrt(3/4)) \\ Charles R Greathouse IV, Feb 04 2025

Formula

Equals Pi/agm(1, 2) = A000796 / A068521. - Amiram Eldar, Apr 28 2025