Search: id:A161708
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%I A161708
%S A161708 1,2,11,22,29,26,7,34,103,206,349,538,779,1078,1441,1874,2383,
%T A161708 2974,3653,4426,5299,6278,7369,8578,9911,11374,12973,14714,
%U A161708 16603,18646,20849,23218,25759,28478,31381,34474,37763,41254
%V A161708 1,2,11,22,29,26,7,-34,-103,-206,-349,-538,-779,-1078,-1441,-1874,-2383,
%W A161708 -2974,-3653,-4426,-5299,-6278,-7369,-8578,-9911,-11374,-12973,-14714,
%X A161708 -16603,-18646,-20849,-23218,-25759,-28478,-31381,-34474,-37763,-41254
%N A161708 -n^3 + 7*n^2 - 5*n + 1.
%C A161708 {a(k): 0 <= k < 4} = divisors of 22:
%C A161708 a(n) = A027750(A006218(21) + k + 1), 0 <= k < A000005(22).
%H A161708 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161708 a(n) = C(n,0) + C(n,1) + 8*C(n,2) - 6*C(n,3).
%F A161708 G.f.: -(-1+2*x-9*x^2+14*x^3)/(-1+x)^4. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jun 18 2009]
%e A161708 Differences of divisors of 22 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161708 1 ... 2 ... 11 ... 22
%e A161708 .. 1 ... 9 ... 11
%e A161708 ..... 8 ... 2
%e A161708 ....... -6.
%Y A161708 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161702, A161703, A000127, A161704, A161706, A161707, A161710, A080856, 
               A161711, A161712, A161713, A161715, A006261.
%Y A161708 Sequence in context: A111081 A018491 A031010 this_sequence A076206 A018563 
               A018590
%Y A161708 Adjacent sequences: A161705 A161706 A161707 this_sequence A161709 A161710 
               A161711
%K A161708 sign
%O A161708 0,2
%A A161708 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009

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