%I A087316
%S A087316 4,17,84,545,7824,281771,51540600,3347558057,1146374959980,
%T A087316 288113965730819,529172633067826888,283453407513524913023,
%U A087316 4122282265785671687518812,1586581830624893452605127040309
%N A087316 a(n) = Sum_{k=1..n} prime(k)^prime(n-k+1).
%H A087316 T. D. Noe, <a href="b087316.txt">Table of n, a(n) for n=1..50</a>
%e A087316 Examples from Jonathan Vos Post (jvospost3(AT)gmail.com), Jan 06 2006:
%e A087316 a(1) = 4 because prime(1)^prime(1) = 2^2 = 4.
%e A087316 a(2) = 17 because prime(1)^prime(2) + prime(2)^prime(1) = 2^3 + 3^2 = 
               17.
%e A087316 a(3) = 84 because 2^5 + 3^3 + 5^2 = 84.
%e A087316 a(4) = 545 = 2^7 + 3^5 + 5^3 + 7^2.
%e A087316 a(5) = 7824 = 2^11 + 3^7 + 5^5 + 7^3 + 11^2.
%e A087316 a(6) = 281771 = 2^13 + 3^11 + 5^7 + 7^5 + 11^3 + 13^2.
%e A087316 a(7) = 51540600 = 2^17 + 3^13 + 5^11 + 7^7 + 11^5 + 13^3 + 17^2.
%e A087316 a(8) = 3347558057 = 2^19 + 3^17 + 5^13 + 7^11 + 11^7 + 13^5 + 17^3 + 
               19^2.
%e A087316 a(9) = 1146374959980 = 2^23 + 3^19 + 5^17 + 7^13 + 11^11 + 13^7 + 17^5 
               + 19^3 + 23^2.
%p A087316 a:=n->sum(ithprime(k)^ithprime(n-k+1),k=1..n): seq(a(n),n=1..16); (Deutsch)
%Y A087316 Cf. A000040, A005408, A087315, A113122, A113153, A113154.
%Y A087316 Sequence in context: A052315 A093904 A093344 this_sequence A104979 A081052 
               A020074
%Y A087316 Adjacent sequences: A087313 A087314 A087315 this_sequence A087317 A087318 
               A087319
%K A087316 nonn
%O A087316 1,1
%A A087316 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 03 2003
%E A087316 More terms from Sam Alexander (amnalexander(AT)yahoo.com), Oct 20 2003
%E A087316 Further terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 13 
               2005
%E A087316 Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 19 2008 at 
               the suggestion of R. J. Mathar