Could please someone compute and analyse this sequence? Start with a(1) = 1 Describe a(1) --> = 11 (one "1") Add a(1) to it's description: 1 + 11 = 12 This is a(2) -- so we have: a(1) = 1 a(2) = 12 Go on from there : Description of a(2) : 1112 Add a(2) to it's description: 12 + 1112 = 1124 This is a(3) -- we have now: a(1) = 1 a(2) = 12 a(3) = 1124 Go on from there : Description of a(3) : 211214 Add a(3) to it's description: 1124 + 211214 = 212338 This is a(4) -- we have now: a(1) = 1 a(2) = 12 a(3) = 1124 a(4) = 212338 Go on from there : Description of a(4) : 11222318 Add a(4) to it's description: 212338 + 11222318 = 11434656 This is a(5) -- we have now: a(1) = 1 a(2) = 12 a(3) = 1124 a(4) = 212338 a(5) = 11434656 etc. -------- Questions: - has this seq. a fixed point (or loop)? - what about other beginnings? (start with a(1) = 0 for instance) Best, É.