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A342696
a(n) = floor(n/12).
1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8
OFFSET
0,25
COMMENTS
Agrees with A064459 for n < 144, but a(144) = 12 whereas A064459(144) = 13.
LINKS
FORMULA
G.f.: x^12 / ( (1+x)*(1+x^2)*(x^4-x^2+1)*(x^2-x+1)*(1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Jul 08 2021
a(n) = a(n-1) + a(n-12) - a(n-13). - Wesley Ivan Hurt, Oct 29 2022
MATHEMATICA
Floor[Range[0, 200]/12]
CROSSREFS
Cf. A064459, A221912 (partial sums), A344420 (floor n/11).
Sequence in context: A095861 A111855 A071701 * A064459 A279758 A082996
KEYWORD
nonn,easy
AUTHOR
Wesley Ivan Hurt, May 18 2021
STATUS
approved