Search: id:A082139
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%I A082139
%S A082139 1,6,42,224,1008,4032,14784,50688,164736,512512,1537536,4472832,
%T A082139 12673024,35094528,95256576,254017536,666796032,1725825024,4410441728,
%U A082139 11142168576,27855421440,68975329280,169303080960,412216197120
%N A082139 A transform of C(n,5).
%C A082139 Sixth row of number array A082137. C(n,5) has e.g.f. (x^5/5!)exp(x). 
               The transform averages the binomial and inverse binomial transforms.
%F A082139 a(n)=(2^(n-1)+0^n/2)C(n+5, n)=sum{j=0..n, C(n+5, j+5)C(j+5, 5)(1+(-1)^j)/
               2 } G.f.: (1-6x+30x^2-80x^3+120x^4-96x^5+32x^6)/(1-2x)^6 E.g.f. (x^5/
               5!)exp(x)cosh(x) (preceded by 5 zeros).
%F A082139 ceil(binomial(n+5,5)*2^(n-1)). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Nov 01 2006
%e A082139 a(0)=(2^(-1)+0^0/2)C(5,0)=2*(1/2)=1 (use 0^0=1)
%p A082139 [seq (ceil(binomial(n+5,5)*2^(n-1)),n=0..23)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Nov 01 2006
%Y A082139 Cf. A080951, A082138.
%Y A082139 Equals 2 * A080952.
%Y A082139 Cf. A082140, A082141, A082138, A080951, A080929, A057711.
%Y A082139 Sequence in context: A062136 A047663 A054642 this_sequence A054613 A141834 
               A105281
%Y A082139 Adjacent sequences: A082136 A082137 A082138 this_sequence A082140 A082141 
               A082142
%K A082139 easy,nonn
%O A082139 0,2
%A A082139 Paul Barry (pbarry(AT)wit.ie), Apr 06 2003

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