I thought the following would work but org seems to reorder the vector:
| t | y_t | 0.9^t | y_{t+1} |
|---+-----+--------+---------|
| 1 | 115 | 0.9 | 0.9 |
| 2 | 121 | 0.81 | 2.52 |
| 3 | 118 | 0.729 | 4.707 |
| 4 | 127 | 0.6561 | 7.3314 |
#+TBLFM: $3=0.9^$1::$4=(@2$3..@0$3)*(@0$1..@2$1)but maybe this will point you somewhere useful... -- : Eric S Fraga (0xFFFCF67D), Emacs 25.1.1, Org release_9.0.5-391-g36c7cf
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