login
Denominators of coefficients of expansion of exp(-Sum_{k=0..oo} x^(2^k)/2^k ) in powers of x.
3

%I #12 Mar 30 2015 09:41:57

%S 1,1,1,3,3,5,45,63,105,405,14175,17325,18711,552825,14189175,49116375,

%T 91216125,144729585,97692469875,109185701625,1031198293125,

%U 10257709336875,3430178002251,2348038513445625,1034450533895625,160789593855515625,16025362854266390625

%N Denominators of coefficients of expansion of exp(-Sum_{k=0..oo} x^(2^k)/2^k ) in powers of x.

%H Hiroaki Yamanouchi, <a href="/A256402/b256402.txt">Table of n, a(n) for n = 0..100</a>

%H Koda, Tatsuhiko; Sato, Masaki; Takegahara, Yugen; <a href="http://dx.doi.org/10.1142/S0219498815500528">2-adic properties for the numbers of involutions in the alternating groups</a>, J. Algebra Appl. 14 (2015), no. 4, 1550052 (21 pages). See Lemma 2.1.

%Y For numerators see A256401. Cf. A256400.

%K nonn,frac

%O 0,4

%A _N. J. A. Sloane_, Mar 29 2015

%E a(18)-a(26) from _Hiroaki Yamanouchi_, Mar 30 2015