1,2

The first gap in A005117 occurs between 1 and 2 and has length 1. The next largest gap occurs between 3 and 5 and has length 2. The next largest gap is between 7 and 10 and has length 3. Etc. We are only interested in gaps that set new records.

Cf. A005117, A020754, A020755, A045882, A051681.

Sequence in context: A132575 A031297 A085516 this_sequence A101947 A167520 A051882

Adjacent sequences: A020750 A020751 A020752 this_sequence A020754 A020755 A020756

nonn,hard,nice

David W. Wilson (davidwwilson(AT)comcast.net)

Thanks to Christian Bower for additional comments.