%I A061166
%S A061166 2,3,5,7,11,13,17,72,332,1139,3129,7361,15469,29837,53797,91850,149910,
%T A061166 235571,358397,530235,765551,1081789,1499753,2044012,2743328,3631107,
%U A061166 4745873,6131765,7839057,9924701,12452893,15495662,19133482,23455907
%N A061166 Polynomial extrapolation of 2, 3, 5, 7, 11, 13, 17.
%F A061166 a(n) =(23n^6-537n^5+4925n^4-22515n^3+53732n^2-61548n+27360)/720
%e A061166 a(8)=72 since first differences of (2,3,5,7,11,13,17) are (1,2,2,4,2,
               4), second differences (1,0,2,-2,2), third differences (-1,2,-4,4), 
               fourth differences (3,-6,8), fifth differences (-9,14) and sixth 
               differences (23) so a(8)=17+4+2+4+8+14+23=72.
%Y A061166 Cf. A061165.
%Y A061166 Sequence in context: A141263 A016114 A053434 this_sequence A003681 A029732 
               A037950
%Y A061166 Adjacent sequences: A061163 A061164 A061165 this_sequence A061167 A061168 
               A061169
%K A061166 nonn
%O A061166 1,1
%A A061166 Henry Bottomley (se16(AT)btinternet.com), Apr 18 2001