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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)] ). 0
 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... PROG (PARI) {a(n)=2^(n^2+n)*polcoeff(exp(sum(m=1, n+1, 2^(-m^2)*x^m/m)+x*O(x^n)), n)} CROSSREFS Cf. A155200. Sequence in context: A086619 A294373 A194026 * A007080 A231517 A134088 Adjacent sequences: A165937 A165938 A165939 * A165941 A165942 A165943 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 01 2009 STATUS approved

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Last modified June 22 09:29 EDT 2024. Contains 373568 sequences. (Running on oeis4.)