Search: id:A143132
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%I A143132
%S A143132 1,6,26,96,321,876,2006,4026,7321,12346,19626,29756,43401,61296,84246,
%T A143132 113126,148881,192526,245146,307896,382001,468756,569526,685746,818921,
%U A143132 970626,1142506,1336276,1553721,1796696,2067126,2367006,2698401,3063446
%N A143132 Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0,...].
%C A143132 Conjecture: rightmost digit of terms is cyclic: (1, 6, 6, 6,...repeat).
%F A143132 Binomial transform of [1, 5, 15, 35, 70, 0, 0, 0,...] where (1, 5, 15, 
               35, 70) = row 4 of triangle A046899.
%F A143132 O.g.f.: (1+x+6x^2+16x^3+46x^4)/(1-x)^5. a(n)=46-200*n+330*A000217(n)-245*A000292(n)+70*A000332(n+3). 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2008]
%F A143132 a(n) = (552 - 1190 n + 895 n^2 - 280 n^3 + 35 n^4)/12 [From T. D. Noe 
               (noe(AT)sspectra.com), Aug 22 2008]
%e A143132 a(4) = 96 = (1, 3, 3, 1) dot (1, 5, 15, 35) = (1 + 15 + 45 + 35).
%Y A143132 Cf. A046899.
%Y A143132 Sequence in context: A036645 A000393 A106392 this_sequence A055589 A055420 
               A137746
%Y A143132 Adjacent sequences: A143129 A143130 A143131 this_sequence A143133 A143134 
               A143135
%K A143132 nonn
%O A143132 1,2
%A A143132 Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 27 2008
%E A143132 More terms from T. D. Noe (noe(AT)sspectra.com), Aug 22 2008

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