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A143131 Binomial transform of [1, 4, 10, 20, 0, 0, 0,...]. 0

%I

%S 1,5,19,63,157,321,575,939,1433,2077,2891,3895,5109,6553,8247,10211,

%T 12465,15029,17923,21167,24781,28785,33199,38043,43337,49101,55355,

%U 62119,69413,77257,85671,94675,104289,114533,125427,136991,149245

%N Binomial transform of [1, 4, 10, 20, 0, 0, 0,...].

%F Binomial transform of [1, 4, 10, 20, 0, 0, 0,...], where (1, 4, 10, 20) = row 3 of triangle A046899

%F a(n) = (-39 + 77 n - 45 n^2 + 10 n^3)/3. [From _T. D. Noe_, Aug 22 2008]

%F G.f.: x*(1+x+5*x^2+13*x^3)/(1-x)^4. [Colin Barker, Mar 23 2012]

%e a(4) = 63 = (1, 3, 3, 1) dot (1, 4, 10, 20) = (1 + 12 + 30 + 20).

%Y Cf. A046899.

%K nonn,easy

%O 1,2

%A _Gary W. Adamson_, Jul 27 2008

%E More terms from _T. D. Noe_, Aug 22 2008

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Last modified July 15 16:09 EDT 2019. Contains 325049 sequences. (Running on oeis4.)