Choose two whole numbers, say 2 and 1. Add them and yield 3; multiply them and yield 2. Repeat using those new numbers. 3+2=5; 3x2=6 5+6=11; 5x6=30 11+30=41; 11x30=330 41+330=371; 41x330=13530 etc. Have such sequences been explored before? Their generation is relatively simple, with fundamental operations in an abbreviated algorithm.