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A093927 n-th root of the n-th partial sum of A093355. +0
4
2, 2, 3, 4, 47, 28, 71, 80, 57, 52, 77, 62, 75, 154, 243, 236, 183, 448, 341, 380, 603, 508, 411, 1060, 837, 686, 765, 658, 569, 506, 479, 588, 1315, 2826, 3709, 2964, 2585, 2536, 2139, 1876, 1643, 1656, 1405, 1824, 1739, 1624, 1557, 1462, 1775, 1936, 1809, 1762 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n) = (sum( A093355(k), k=1...n))^(1/n) = min { k in N | k^n - a(n-1)^(n-1) is prime } [From M. F. Hasler (MHasler(AT)univ-ag.fr), Apr 07 2009]

PROGRAM

(PARI) s=0; for( n=1, 999, t=floor(sqrtn(s, n)); until( isprime( t++^n-s), ); print1(t, ", "); s=t^n) [From M. F. Hasler (MHasler(AT)univ-ag.fr), Apr 07 2009]

CROSSREFS

Cf. A093355.

Cf. A093928.

Sequence in context: A153943 A049309 A022405 this_sequence A067088 A065519 A058256

Adjacent sequences: A093924 A093925 A093926 this_sequence A093928 A093929 A093930

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 25 2004

EXTENSIONS

More terms from Ray G. Opao (1260(AT)email.com), Nov 29 2004

More terms from David Wasserman (dwasserm(AT)earthlink.net), Mar 06 2007

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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