A032316 - OEIS

%I #8 Sep 11 2018 16:02:24

%S 1,1,3,14,45,284,1570,9267,70189,496232,4010526,34481105,308516868,

%T 2926837289,29200525341,307118111601,3309789462677,37814191683984,

%U 445615694701030,5424871661765829,68774736287172136,898086216694079703,12111344019974440847

%N "EGJ" (unordered, element, labeled) transform of 1,3,5,7...

%H Andrew Howroyd, <a href="/A032316/b032316.txt">Table of n, a(n) for n = 0..200</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%F E.g.f: Product_{k > 0} (1 + x^k/k!)^(2*k-1). - _Andrew Howroyd_, Sep 11 2018

%o (PARI) seq(n)={Vec(serlaplace(prod(k=1, n, (1 + x^k/k! + O(x*x^n))^(2*k-1))))} \\ _Andrew Howroyd_, Sep 11 2018

%K nonn

%O 0,3

%A _Christian G. Bower_

%E a(0)=1 prepended and terms a(21) and beyond from _Andrew Howroyd_, Sep 11 2018