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.

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

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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}]
nxt[{n_, a_, b_, c_}]:={n+1, b, c, Floor[(c+b+n+1)/(a+1)]}; NestList[nxt, {3, 1, 3, 4}, 90][[;; , 2]] (* Harvey P. Dale, Nov 15 2024 *)

Crossrefs

Cf. A372982, A372983, A372985.

Sequence in context: A199620 A375829 A016553 * A228947 A337535 A163874

Adjacent sequences: A372981 A372982 A372983 * A372985 A372986 A372987

Keyword

nonn

Author

Clark Kimberling, Jul 09 2024

Status

approved