A165940 - OEIS

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A165940

G.f.: Sum_{n>=0} a(n)*x^n/2^(n^2+n) = exp( Sum_{n>=1} x^n/[n*2^(n^2)] ).

1, 2, 10, 152, 7684, 1352096, 852120928, 1960591940480, 16697154282192928, 531801639623740649984, 63854080509077223292639744, 29089348119991257994736112048128

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Conjectured to consist entirely of integers.

LINKS

Table of n, a(n) for n=0..11.

EXAMPLE

G.f.: 1 + 2*x/2^2 + 10*x^2/2^6 + 152*x^3/2^12 + 7684*x^4/2^20 +...

= exp( x/2 + x^2/(2*2^4) + x^3/(3*2^9) + x^4/(4*2^16) +... ).

Evaluated at x=1:

Sum_{n>=0} a(n)/2^(n^2+n) = 1.7021716250154556344906565654972646...