%I A045618
%S A045618 1,6,23,72,201,522,1291,3084,7181,16398,36879,81936,180241,393234,
%T A045618 851987,1835028,3932181,8388630,17825815,37748760,79691801,167772186,
%U A045618 352321563,738197532,1543503901,3221225502,6710886431,13958643744
%N A045618 Partial sums of A000337(n+4), n >= 0.
%C A045618 Convolution of A000225(n+1), n >= 0, (partial sums of powers of 2).
%F A045618 a(n) = n+5+(n-1)*2^(n+2); G.f.: 1/((1-2*x)*(1-x))^2.
%t A045618 Table[Sum[(-1)^(n - k) k (-1)^(n - k) Binomial[n + 2, k + 2], {k, 0, 
               n}], {n, 1, 28}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jul 08 2009]
%Y A045618 Sequence in context: A009017 A119712 A005745 this_sequence A038737 A038797 
               A136530
%Y A045618 Adjacent sequences: A045615 A045616 A045617 this_sequence A045619 A045620 
               A045621
%K A045618 easy,nonn
%O A045618 0,2
%A A045618 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)