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A113495 Lexicographically smallest subsequence of the perfect powers in A025475 such that first differences are an increasing sequence of primes. +0
3
1, 4, 9, 16, 27, 64, 125, 256, 2187, 16384, 161051 (list; graph; listen)
OFFSET

1,2

COMMENT

Note: if the definition is changed to refer to the perfect powers in A001597, the sequence becomes A137354. -R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2008

EXAMPLE

a(2) = 4 because 1 + 3 = 4;

a(3) = 9 because 1 + 3 + 5 = 9;

a(4) = 16 because 1 + 3 + 5 + 7 = 16;

a(5) = 27 because 1 + 3 + 5 + 7 + 11 = 27;

a(6) = 64 because 1 + 3 + 5 + 7 + 11 + 37 = 64;

a(7) = 125 because 1 + 3 + 5 + 7 + 11 + 37 + 67 = 125;

a(8) = 256 because 1 + 3 + 5 + 7 + 11 + 37 + 67 + 131 = 256.

CROSSREFS

Adjacent sequences: A113492 A113493 A113494 this_sequence A113496 A113497 A113498

Sequence in context: A009862 A132074 A137354 this_sequence A110997 A001640 A073141

KEYWORD

nonn,more

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Jan 10 2006

EXTENSIONS

3 more terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 07 2008

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.


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