A344420 a(n) = floor(n/11).

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

Offset

0,23

Comments

Terms agree with A064458 for all n < 121, but a(121) = 11 while A064458(121) = 12.

Links

Table of n, a(n) for n=0..93.

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

Formula

From Chai Wah Wu, May 18 2021: (Start)

a(n) = a(n-1) + a(n-11) - a(n-12) for n > 11.

G.f.: x^11/(x^12 - x^11 - x + 1). (End)

Mathematica

Floor[Range[0, 100]/11]
CoefficientList[Series[x^11/(x^12-x^11-x+1), {x, 0, 100}], x] (* or *) LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 100] (* Harvey P. Dale, Aug 03 2021 *)

Crossrefs

Cf. A064458, A059995 (floor n/10).

Sequence in context: A287272 A300287 A226764 * A206244 A206245 A064458

Adjacent sequences: A344417 A344418 A344419 * A344421 A344422 A344423

Keyword

nonn,easy

Author

Wesley Ivan Hurt, May 17 2021

Status

approved