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A187323
a(n) = floor(n/2) + floor(n/3) + floor(n/4).
1
0, 0, 1, 2, 4, 4, 6, 6, 8, 9, 10, 10, 13, 13, 14, 15, 17, 17, 19, 19, 21, 22, 23, 23, 26, 26, 27, 28, 30, 30, 32, 32, 34, 35, 36, 36, 39, 39, 40, 41, 43, 43, 45, 45, 47, 48, 49, 49, 52, 52, 53, 54, 56, 56, 58, 58, 60, 61, 62, 62, 65, 65, 66, 67, 69, 69, 71, 71, 73, 74, 75, 75, 78, 78, 79, 80, 82, 82, 84, 84, 86, 87, 88, 88, 91, 91, 92, 93, 95, 95, 97, 97, 99, 100, 101, 101, 104, 104, 105, 106, 108, 108, 110, 110, 112, 113, 114, 114, 117, 117, 118, 119, 121, 121, 123, 123, 125, 126, 127, 127, 130
OFFSET
0,4
FORMULA
a(n) = floor(n/2) + floor(n/3) + floor(n/4).
From Robert Israel, Jul 23 2023: (Start)
a(n+12) = a(n) + 13.
G.f.: (3*x^6 + 3*x^5 + 4*x^4 + 2*x^3 + x^2)/(x^7 - x^4 - x^3 + 1). (End)
MATHEMATICA
Table[Total[Floor[n/{2, 3, 4}]], {n, 0, 120}] (* Harvey P. Dale, Jun 14 2014 *)
PROG
(Python)
def A187323(n): return 3*(n>>2)+bool(n&2)+n//3 # Chai Wah Wu, Jan 31 2023
CROSSREFS
Sequence in context: A363030 A014684 A113638 * A262504 A211514 A111457
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Mar 08 2011
STATUS
approved