Search: id:A161702
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%I A161702
%S A161702 1,2,7,14,21,26,27,22,9,14,49,98,163,246,349,474,623,798,1001,
%T A161702 1234,1499,1798,2133,2506,2919,3374,3873,4418,5011,5654,
%U A161702 6349,7098,7903,8766,9689,10674,11723,12838,14021,15274
%V A161702 1,2,7,14,21,26,27,22,9,-14,-49,-98,-163,-246,-349,-474,-623,-798,-1001,
%W A161702 -1234,-1499,-1798,-2133,-2506,-2919,-3374,-3873,-4418,-5011,-5654,
%X A161702 -6349,-7098,-7903,-8766,-9689,-10674,-11723,-12838,-14021,-15274
%N A161702 (-n^3 + 9*n^2 - 5*n + 3)/3.
%C A161702 {a(k): 0 <= k < 4} = divisors of 14:
%C A161702 a(n) = A027750(A006218(13) + k + 1), 0 <= k < A000005(14).
%H A161702 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161702 a(n) = C(n,0) + C(n,1) + 4*C(n,2) - 2*C(n,3).
%e A161702 Differences of divisors of 14 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161702 1 ... 2 ... 7 ... 14
%e A161702 .. 1 ... 5 ... 7
%e A161702 ..... 4 ... 2
%e A161702 ....... -2.
%Y A161702 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161703, A000127, A161704, A161706, A161707, A161708, A161710, A080856, 
               A161711, A161712, A161713, A161715, A006261.
%Y A161702 Sequence in context: A057126 A018349 A018363 this_sequence A087324 A008865 
               A018392
%Y A161702 Adjacent sequences: A161699 A161700 A161701 this_sequence A161703 A161704 
               A161705
%K A161702 sign
%O A161702 0,2
%A A161702 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009

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