A137354 Lexicographically earliest subsequence of the perfect powers in A001597 such that first differences are an increasing sequence of primes.

1, 4, 9, 16, 27, 64, 125, 196, 12167, 28224, 68921, 115600, 177147, 244036, 421875, 614656, 970299, 1378276, 2460375, 3556996, 4657463, 5760000, 9129329, 12531600, 16974593, 21436900, 26730899, 32035600, 39135393, 46240000, 53582633

Offset

1,2

Links

Table of n, a(n) for n=1..31.

Mathematica

lst = (* the terms in A137355 *); Rest@ FoldList[ Plus, 0, lst] (* Robert G. Wilson v, Apr 20 2010 *)

Crossrefs

A variant of A113495. Partial sums of A137355.

Sequence in context: A009862 A132074 A283549 * A113495 A110997 A001640

Adjacent sequences: A137351 A137352 A137353 * A137355 A137356 A137357

Keyword

nonn

Author

R. J. Mathar, Mar 07 2008

Extensions

a(22)-a(32) from Robert G. Wilson v, Apr 20 2010

Status

approved