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A140227 Binomial transform of [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...]. 0

%I

%S 1,5,15,35,70,127,215,345,530,785,1127,1575,2150,2875,3775,4877,6210,

%T 7805,9695,11915,14502,17495,20935,24865,29330,34377,40055,46415,

%U 53510,61395,70127,79765,90370,102005,114735,128627,143750,160175,177975

%N Binomial transform of [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...].

%F A007318 * [1, 4, 6, 4, 1, 1, -1, 1, -1, 1,...].

%F O.g.f.: x(1+x)(x^4-x^3+x^2-x+1)/(1-x)^5. a(n)=2+35*(n-1)^2/12+(n-1)^4/12, n>1. - _R. J. Mathar_, Jun 18 2008

%e a(4) = 35 = (1, 3, 3, 1) dot (1, 4, 6, 4) = (1 + 12 + 18 + 4).

%K nonn

%O 1,2

%A _Gary W. Adamson_, May 12 2008

%E More terms from _R. J. Mathar_, Jun 18 2008

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Last modified May 10 14:04 EDT 2021. Contains 343770 sequences. (Running on oeis4.)