What comes next?

[Gilles]

newRPL with LstX library. Enter the first numbers as a list and you get a list with a new guess number. etc.

Code:

«
 DUPDUP RHEAD SWAP
 2 OVER SIZE START
   ΔLIST DUP RHEAD ROT + SWAP 
 NEXT
 + ADD
»

Ex :
{ 1 2 4 8 16 31 } -> { 1 2 4 8 16 31 57 } ->{ 1 2 4 8 16 31 57 99 } ...
A000127 OK
A005846 OK
A000332 OK
...
{ 0 1 4 10 20 } -> { 0 1 4 10 20 35 }