Search: id:A161715
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%I A161715
%S A161715 1,2,3,5,6,10,15,30,171,886,3359,10143,26072,59502,123931,240048,438261,
%T A161715 761754,1270123,2043641,3188202,4840994,7176951,10416034,14831391,
%U A161715 20758446,28604967,38862163,52116860,69064806,90525155,117456180
%N A161715 (50*n^7 - 1197*n^6 + 11333*n^5 - 53655*n^4 + 132125*n^3 - 156828*n^2 
               + 73212*n + 5040)/5040
%C A161715 {a(k): 0 <= k < 8} = divisors of 30:
%C A161715 a(n) = A027750(A006218(29) + k + 1), 0 <= k < A000005(30).
%H A161715 R. Zumkeller, <a href="a161700.txt">Enumerations of Divisors</a>
%F A161715 a(n) = C(n,0) + C(n,1) + C(n,3) - 3*C(n,4) + 9*C(n,5) - 21*C(n,6) + 50*C(n,
               7).
%F A161715 G.f.: (1-6*x+15*x^2-19*x^3+8*x^4+18*x^5-51*x^6+84*x^7)/(-1+x)^8. [From 
               R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 18 2009]
%e A161715 Differences of divisors of 30 to compute the coefficients of their interpolating 
               polynomial, see formula:
%e A161715 .1 ... 2 ... 3 ... 5 ... 6 .. 10 .. 15 .. 30
%e A161715 ... 1 ... 1 ... 2 ... 1 ... 4 ... 5 .. 15
%e A161715 ...... 0 ... 1 .. -1 ... 3 ... 1 .. 10
%e A161715 ......... 1 .. -2 ... 4 .. -2 ... 9
%e A161715 ........... -3 ... 6 .. -6 .. 11
%e A161715 ............... 9 . -12 .. 17
%e A161715 ................ -21 .. 29
%e A161715 .................... 50.
%Y A161715 A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161701, 
               A161702, A161703, A000127, A161704, A161706, A161707, A161708, A161710, 
               A080856, A161711, A161712, A161713, A006261.
%Y A161715 A018255, A161700, A161856. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Jun 21 2009]
%Y A161715 Sequence in context: A018693 A018255 A018727 this_sequence A164523 A033159 
               A083710
%Y A161715 Adjacent sequences: A161712 A161713 A161714 this_sequence A161716 A161717 
               A161718
%K A161715 nonn
%O A161715 0,2
%A A161715 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009

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