OFFSET
0,4
COMMENTS
The sequence has period of length 36: {2,3,5,...,28,3,31} and thus is bounded.
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
MATHEMATICA
A214156[0]:=0; A214156[1]:=1; A214156[n_] := A214156[n] = If[PrimeOmega[#] == 2, First[Rest[Divisors[#]]], #]& [A214156[n-1] + A214156[n-2]]; Table[A214156[n], {n, 0, 99}] (* Peter J. C. Moses, Feb 18 2013 *)
nxt[{a_, b_}]:={b, If[PrimeOmega[a+b]==2, FactorInteger[a+b][[1, 1]], a+b]}; NestList[nxt, {0, 1}, 70][[All, 1]] (* or *) PadRight[{0, 1, 1}, 70, {28, 3, 31, 2, 3, 5, 8, 13, 3, 16, 19, 5, 24, 29, 53, 2, 5, 7, 12, 19, 31, 50, 81, 131, 212, 343, 555, 2, 557, 13, 570, 11, 7, 18, 5, 23}] (* Harvey P. Dale, Feb 02 2017 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Feb 16 2013
STATUS
approved