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A178095

a(1)=a(2)=a(3)=1; thereafter a(n) = lpf(a(n-1)+a(n-2)+a(n-3)), where lpf = "least prime factor".

1, 1, 1, 3, 5, 3, 11, 19, 3, 3, 5, 11, 19, 5, 5, 29, 3, 37, 3, 43, 83, 3, 3, 89, 5, 97, 191, 293, 7, 491, 7, 5, 503, 5, 3, 7, 3, 13, 23, 3, 3, 29, 5, 37, 71, 113, 13, 197, 17, 227, 3, 13, 3, 19, 5, 3, 3, 11, 17, 31, 59, 107, 197, 3, 307, 3, 313, 7, 17, 337, 19, 373, 3, 5, 3, 11, 19, 3, 3, 5, 11, 19, 5, 5, 29, 3, 37, 3, 43, 83, 3, 3, 89, 5, 97, 191, 293, 7, 491, 7

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OFFSET

1,4

COMMENTS

Has period 69, starting with the fourth term: 3, 5, 3, 11, 19, 3, 3, 5, 11, ...

LINKS

Table of n, a(n) for n=1..100.

MATHEMATICA

nxt[{a_, b_, c_}]:={b, c, FactorInteger[a+b+c][[1, 1]]}; Transpose[ NestList[ nxt, {1, 1, 1}, 100]][[1]] (* Harvey P. Dale, Aug 19 2014 *)

CROSSREFS

Cf. A178094, A020639, A175723, A177904.

Sequence in context: A105445 A345014 A328878 * A177904 A049072 A059887