In mathematics, Göbel's sequence is a sequence of rational numbers defined by the recurrence relation with starting value Göbel's sequence starts with 1, 1, 2, 3, 5, 10, 28, 154, 3520, 1551880, ... The first non-integral value is x43. Generalization Göbel's sequence can be generalized to kth powers by The least indices at which the k-Göbel sequences assume a non-integral value are 43, 89, 97, 214, 19, 239, 37, 79, 83, 239, ... References External links Göbel's Sequence Integer sequences Recurrence relations