0,4

Note the strange resemblance to the Fibonacci numbers (A000045). In fact 1/89 = sum (Fibonacci(i)/10^(i+1)). (In the same way, the Lucas numbers sum up to 120/89) - Johan Claes (Johan.Claes(AT)luc.ac.be), Jun 11 2004

In the Red Zen reference, the decimal expansion of 1/89 and its relation to the Fibonacci sequence is discussed; also primes of the form Floor(1/89 * 10^n) are given for n = 3, 5 and 631. - Jason Earls (zevi_35711(AT)yahoo.com), May 28 2007

The 44-digit cycle 1,0,1,1,2,3,5,9,5,5,0,5,6,1,7,9,7,7,5,2,8,0,8,9,8,8,7,6,4, 0,4,4,9,4,3,8,2,0,2,4,4,7,1,9 in this sequence and the others based on eighty-ninths, gives the successive digits of the smallest integer which is multiplied by nine when the final digit is moved from the right hand end to the left hand end. - Ian Duff (ianfduff(AT)yahoo.co.uk), Jan 09 2009

J. Earls, Red Zen, Lulu Press, NY, 2007, pp. 47-48. ISBN: 978-1-4303-2017-3.

Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 66.

Cf. A000045.

Sequence in context: A064358 A109736 A119628 this_sequence A011026 A069805 A123923

Adjacent sequences: A021090 A021091 A021092 this_sequence A021094 A021095 A021096

nonn,cons

N. J. A. Sloane (njas(AT)research.att.com).