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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A372984 a(n) = floor((a(n-1)+a(n-2)+n)/(a(n-3)+1)), with a(1)=1, a(2)=3, a(3)=4. 3 1, 3, 4, 5, 3, 2, 2, 3, 4, 5, 5, 4, 3, 3, 4, 5, 6, 5, 5, 4, 5, 5, 6, 5, 6, 5, 6, 5, 6, 5, 7, 6, 7, 5, 6, 5, 8, 7, 9, 6, 7, 5, 7, 7, 9, 7, 7, 6, 7, 7, 9, 8, 8, 7, 7, 7, 8, 9, 9, 8, 7, 7, 8, 9, 10, 9, 8, 7, 8, 9, 11, 10, 9, 7, 8, 9, 11, 10, 10, 8, 9, 9, 11, 10 (list; graph; refs; listen; history; text; internal format) OFFSET 1,2 LINKS Table of n, a(n) for n=1..84. MATHEMATICA a[1] = 1; a[2] = 3; a[3] = 4; a[n_] := a[n] = Floor[(a[n - 1] + a[n - 2] + n)/(a[n - 3] + 1)]; Table[a[n], {n, 1, 100}] CROSSREFS Cf. A372982, A372983, A372985. Sequence in context: A099120 A199620 A016553 * A228947 A337535 A163874 Adjacent sequences: A372981 A372982 A372983 * A372985 A372986 A372987 KEYWORD nonn AUTHOR Clark Kimberling, Jul 09 2024 STATUS approved

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Last modified August 18 17:29 EDT 2024. Contains 375269 sequences. (Running on oeis4.)