Find an mathematical equation or logic to calculate the above number sequence. Your method should be able to calculate the values of n up to 100 using the mathematical formulas for large Fibonacci numbers.

Hint: The actual formula is related to the Fibonacci number sequence.

6 13 20 31 49 78 125 201 324 523 845 6 10 12 13 14 15 1366 16 2209 17 3573 18 5780 19 9351 20 15129 21 24478 22 39605 23 64081 24 103684 25 167763 26 271445 27 439206 28 710649 29 1149853 30 1860500 31 3010351 32 4870849 33 7881198 34 12752045 35 20633241 36 33385284 37 54018523 38 87403805 39 141422326 40 228826129 41 370248453 42 599074580 43 969323031 44 1568397609 45 2537720638 46 4106118245