A021680 Decimal expansion of 1/676.

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

Offset

0,4

Links

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

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

Formula

From Chai Wah Wu, Jan 03 2024: (Start)

a(n) = a(n-1) - a(n-39) + a(n-40) for n > 41.

G.f.: x^2*(-5*x^39 - 2*x^38 + 6*x^36 + x^35 - 3*x^34 + 2*x^33 - x^32 - 4*x^31 + x^30 + x^28 - 3*x^27 + x^26 + 2*x^25 - 5*x^24 + 9*x^23 - 6*x^22 + 3*x^21 + 2*x^20 - 2*x^19 - 3*x^17 - x^16 - 2*x^15 + 4*x^14 + 4*x^13 - 6*x^12 + 6*x^11 - 8*x^10 + 4*x^9 + 5*x^8 - x^6 - 6*x^5 + 7*x^4 - 2*x^3 - 3*x^2 - 3*x - 1)/(x^40 - x^39 + x - 1). (End)

Mathematica

Join[{0, 0}, First[RealDigits[1/676, 10, 100]]] (* Paolo Xausa, Jan 17 2024 *)

Crossrefs

Sequence in context: A258707 A010299 A201413 * A299617 A201931 A201504

Adjacent sequences: A021677 A021678 A021679 * A021681 A021682 A021683

Keyword

nonn,cons

Author

N. J. A. Sloane.

Status

approved