login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A178306
a(0)=1, a(1)=a(2)=1 and a(3k) = a(k), a(3k+1) = a(k)+a(k+1), a(3k+2) = 2a(k) for k >= 1.
0
0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 3, 2, 2, 4, 4, 2, 3, 4, 1, 3, 2, 2, 4, 4, 2, 3, 4, 1, 4, 2, 3, 5, 6, 2, 4, 4, 2, 6, 4, 4, 8, 8, 4, 6, 8, 2, 5, 4, 3, 7, 6, 4, 5, 8, 1, 4, 2, 3, 5, 6, 2, 4, 4, 2, 6, 4, 4, 8, 8, 4, 6, 8, 2, 5, 4, 3, 7, 6, 4, 5, 8, 1, 5, 2, 4, 6, 8, 2, 5, 4, 3, 8, 6, 5, 11, 10, 6, 8, 12, 2, 6, 4, 4, 8
OFFSET
0,5
MATHEMATICA
a[0] = 0; a[1] = 1; a[2] = 1;
a[n_] := a[n] = If[Mod[ n, 3] == 0, a[Floor[n/3]], If[Mod[n, 3] == 1, a[Floor[(n - 1)/3]] + a[Floor[(n + 2)/3]], a[Floor[(n - 2)/3]] + a[Floor[n/3]]]];
Table[a[n], {n, 0, 200}]
CROSSREFS
Sequence in context: A025260 A227156 A123369 * A309363 A280153 A023671
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Definition simplified, Mma notation replaced - The Assoc. Eds. of the OEIS, Jul 20 2010
STATUS
approved