Search: id:A161704
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%I A161704
%S A161704 1,2,3,6,9,18,59,190,513,1186,2435,4566,7977,13170,20763,31502,46273,
%T A161704 66114,92227,125990,168969,222930,289851,371934,471617,591586,734787,
%U A161704 904438,1104041,1337394,1608603,1922094,2282625,2695298,3165571,3699270
%N A161704 (3*n^5 - 35*n^4 + 145*n^3 - 235*n^2 + 152*n + 30)/30.
%C A161704 {a(k): 0 <= k < 6} = divisors of 18:
%C A161704 a(n) = A027750(A006218(17) + k + 1), 0 <= k < A000005(18).
%H A161704 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161704 a(n) = C(n,0) + C(n,1) + 2*C(n,3) - 4*C(n,4) + 12*C(n,5).
%e A161704 Differences of divisors of 18 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161704 1 ... 2 ... 3 ... 6 ... 9 ... 18
%e A161704 .. 1 ... 1 ... 3 ... 3 ... 9
%e A161704 ..... 0 ... 2 ... 0 ... 6
%e A161704 ........ 2 .. -2 ... 6
%e A161704 .......... -4 ... 8
%e A161704 ............. 12.
%Y A161704 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161702, A161703, A000127, A161706, A161707, A161708, A161710, A080856, 
               A161711, A161712, A161713, A161715, A006261.
%Y A161704 A018251, A161700, A161856. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 21 2009]
%Y A161704 Sequence in context: A032251 A018679 A018741 this_sequence A011962 A060172 
               A003243
%Y A161704 Adjacent sequences: A161701 A161702 A161703 this_sequence A161705 A161706 
               A161707
%K A161704 nonn
%O A161704 0,2
%A A161704 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009

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