A088128 - OEIS

%I #12 Apr 10 2022 14:48:18

%S 1,2,7,30,157,970,6931,56294,512569,5173074,57330271,692227822,

%T 9045871957,127205130650,1915394962027,30748771424310,524265894691441,

%U 9461374592096674,180184121539899319,3611206508019111614,75978294135602723341,1674381620327287502442

%N Expansion of e.g.f.: cosh(x)/(1-x)^2.

%C Binomial transform of A088127.

%F a(n) = A001339(n) - A088129(n).

%F a(n) = Sum_{k=0..floor(n/2)} binomial(n,2*k) * (n-2*k+1)!. - _Ilya Gutkovskiy_, Apr 10 2022

%t With[{nn=20},CoefficientList[Series[Cosh[x]/(1-x)^2,{x,0,nn}],x] Range[0,nn]!] (* _Harvey P. Dale_, Feb 02 2020 *)

%Y Cf. A001339, A088127, A088129.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Sep 19 2003

%E Definition clarified by _Harvey P. Dale_, Feb 02 2020