A236184 Decimal expansion of 1/65537.

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

Offset: 0

Author

Rick L. Shepherd, Jan 19 2014

Keywords

• nonn
• cons
• easy

Comments

Periodic sequence of period 65536. Being a Fermat prime > 5, 65537 is a full reptend prime. One full period is given in the table.

Examples

			0.000015258556235409005599890138395105055159680791003555243602850298304774...
		

Links

• Rick L. Shepherd, Table of n, a(n) for n = 0..65535
• MathWorld, Fermat Prime

Crossrefs

Cf. A007450 (1/17), A021261 (1/257), A019434, A001913, A048963.

Programs

Mathematica

RealDigits[1/65537, 10, 105, -1][[1]] (* T. D. Noe, Jan 27 2014 *)

PARI

{default(realprecision, 66000);
x = 1/65537; d = 0; for(n = 0, 65535, x = (x-d)*10; d = floor(x);
write("b236184.txt", n, " ", d))} \\ Rick L. Shepherd, Jan 19 2014 (after similar program by Harry J. Smith)

Formula

a(n + 65536) = a(n).