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A069218
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a(1)=1, a(2)=8; for n >= 1, a(n+2)=(a(n+1)+a(n))/3 if (a(n+1)+a(n)==0 (mod 3)); a(n+2)=(a(n+1)+a(n))/2 if (a(n+1)+a(n)==0 (mod 2)); a(n+2)=a(n+1)+a(n) otherwise.
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1
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1, 8, 3, 11, 7, 6, 13, 19, 16, 35, 17, 26, 43, 23, 22, 15, 37, 26, 21, 47, 34, 27, 61, 44, 35, 79, 38, 39, 77, 58, 45, 103, 74, 59, 133, 64, 197, 87, 142, 229, 371, 200, 571, 257, 276, 533, 809, 671, 740, 1411, 717, 1064, 1781, 2845, 1542, 4387, 5929, 5158, 11087
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A Collatz-Fibonacci mixture. Does this sequence diverge to infinity? Conjecture: if a(1)=1 and a(2)=2 sequence is constant = 1, if a(2)=5 sequence is cyclic = (5,2,7,3) but if a(2)=m, different from 2 or 5, sequence diverges.
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CROSSREFS
| Sequence in context: A069610 A122159 A069200 * A070608 A070486 A195161
Adjacent sequences: A069215 A069216 A069217 * A069219 A069220 A069221
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KEYWORD
| easy,nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 11 2002
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