%I A161712
%S A161712 1,3,9,27,65,131,233,379,577,835,1161,1563,2049,2627,3305,4091,4993,
%T A161712 6019,7177,8475,9921,11523,13289,15227,17345,19651,22153,24859,27777,
%U A161712 30915,34281,37883,41729,45827,50185,54811,59713,64899,70377,76155
%N A161712 (4*n^3 - 6*n^2 + 8*n + 3)/3.
%C A161712 {a(k): 0 <= k < 4} = divisors of 27:
%C A161712 a(n) = A027750(A006218(26) + k + 1), 0 <= k < A000005(27).
%H A161712 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161712 a(n) = C(n,0) + 2*C(n,1) + 4*C(n,2) + 8*C(n,3).
%e A161712 Differences of divisors of 27 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161712 1 ... 3 ... 9 ... 27
%e A161712 .. 2 ... 6 .. 18
%e A161712 ..... 4 .. 12
%e A161712 ........ 8.
%Y A161712 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161702, A161703, A000127, A161704, A161706, A161707, A161708, A161710, 
               A080856, A161711, A161713, A161715, A006261.
%Y A161712 Sequence in context: A093546 A015955 A097803 this_sequence A137368 A036215 
               A103828
%Y A161712 Adjacent sequences: A161709 A161710 A161711 this_sequence A161713 A161714 
               A161715
%K A161712 nonn
%O A161712 0,2
%A A161712 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009