A021992 Decimal expansion of 1/988.

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

Offset

0,6

Comments

Generalization:

1/88 = sum (12^i/100^(i+1)), i >= 0,

1/988 = sum (12^i/1000^(i+1)), i >= 0, (this sequence)

1/9988 = sum (12^i/10000^(i+1)), i >= 0, ... - Daniel Forgues, Oct 28 2011

Links

Table of n, a(n) for n=0..98.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,-1,1).

Formula

From Chai Wah Wu, Mar 07 2021: (Start)

a(n) = a(n-1) - a(n-9) + a(n-10) for n > 11.

G.f.: x^2*(-5*x^9 + 3*x^8 - 2*x^7 - x^6 - 3*x^5 + x^4 - x^3 - x^2 + x - 1)/(x^10 - x^9 + x - 1). (End)

Crossrefs

Sequence in context: A052947 A159287 A252448 * A337123 A292388 A261035

Adjacent sequences: A021989 A021990 A021991 * A021993 A021994 A021995

Keyword

nonn,cons

Author

N. J. A. Sloane.

Status

approved