%I A161710
%S A161710 1,2,3,4,6,8,12,24,39,2,295,1308,3980,9996,22150,44808,84483,
%T A161710 150534,256001,418588,661806,1016288,1521288,2226376,3193341,
%U A161710 4498314,6234123,8512892,11468896,15261684,20079482,26142888
%V A161710 1,2,3,4,6,8,12,24,39,-2,-295,-1308,-3980,-9996,-22150,-44808,-84483,
%W A161710 -150534,-256001,-418588,-661806,-1016288,-1521288,-2226376,-3193341,
%X A161710 -4498314,-6234123,-8512892,-11468896,-15261684,-20079482,-26142888
%N A161710 (-6*n^7 + 154*n^6 - 1533*n^5 + 7525*n^4 - 18879*n^ 3 + 22561*n^2 - 7302*n 
               + 2520)/2520.
%C A161710 {a(k): 0 <= k < 8} = divisors of 24:
%C A161710 a(n) = A027750(A006218(23) + k + 1), 0 <= k < A000005(24).
%H A161710 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161710 a(n) = C(n,0) + C(n,1) + C(n,4) - 3*C(n,5) + 8*C(n,6) - 12*C(n,7).
%e A161710 Differences of divisors of 24 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161710 1 ... 2 ... 3 ... 4 ... 6 ... 8 .. 12 .. 24
%e A161710 .. 1 ... 1 ... 1 ... 2 ... 2 ... 4 .. 12
%e A161710 ..... 0 ... 0 ... 1 ... 0 ... 2 ... 8
%e A161710 ........ 0 ... 1 .. -1 ... 2 ... 6
%e A161710 ........... 1 .. -2 ... 3 ... 4
%e A161710 ............. -3 ... 5 ... 1
%e A161710 ................. 8 .. -4
%e A161710 .................. -12.
%Y A161710 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161702, A161703, A000127, A161704, A161706, A161707, A161708, A080856, 
               A161711, A161712, A161713, A161715, A006261.
%Y A161710 A018253, A161700, A161856. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 21 2009]
%Y A161710 Sequence in context: A018597 A018623 A018703 this_sequence A018758 A068597 
               A094372
%Y A161710 Adjacent sequences: A161707 A161708 A161709 this_sequence A161711 A161712 
               A161713
%K A161710 sign
%O A161710 0,2
%A A161710 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009