%I A161701
%S A161701 1,2,3,4,6,12,28,64,135,262,473,804,1300,2016,3018,4384,6205,8586,11647,
%T A161701 15524,20370,26356,33672,42528,53155,65806,80757,98308,118784,142536,
%U A161701 169942,201408,237369,278290,324667,377028,435934,501980,575796,658048
%N A161701 (n^5 - 5*n^4 + 5*n^3 + 5*n^2 + 114*n + 120)/120.
%C A161701 {a(k): 0 <= k < 6} = divisors of 12:
%C A161701 a(n) = A027750(A006218(11) + k + 1), 0 <= k < A000005(12).
%H A161701 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161701 a(n) = C(n,0) + C(n,1) + C(n,4) + C(n,5).
%e A161701 Differences of divisors of 12 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161701 1 ... 2 ... 3 ... 4 ... 6 ... 12
%e A161701 .. 1 ... 1 ... 1 ... 2 ... 6
%e A161701 ..... 0 ... 0 ... 1 ... 4
%e A161701 ........ 0 ... 1 ... 3
%e A161701 ........... 1 ... 2
%e A161701 .............. 1.
%Y A161701 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161702, 
               A161703, A000127, A161704, A161706, A161707, A161708, A161710, A080856, 
               A161711, A161712, A161713, A161715, A006261.
%Y A161701 Sequence in context: A102462 A018369 A078495 this_sequence A038504 A018405 
               A018419
%Y A161701 Adjacent sequences: A161698 A161699 A161700 this_sequence A161702 A161703 
               A161704
%K A161701 nonn
%O A161701 0,2
%A A161701 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009