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A066384
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Sum_{k=0..n} C(2^n,k).
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4
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1, 3, 11, 93, 2517, 242825, 83278001, 100224990433, 423203101008289, 6320756952791172417, 337588530920463407788161, 65183827170777713040896325889, 45946801057461743411385200045344257, 119218150804947710897541255907308439677953, 1146646393160535279886911833912593527834996340737
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,50
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FORMULA
| G.f.: Sum_{n>=0} ln(1+2^n*x)^n/((1-2^n*x)*n!). - Paul Hanna and Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 15 2008
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PROG
| (PARI) { for (n=0, 50, a=0; for (k=0, n, a+=binomial(2^n, k)); write("b066384.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Feb 12 2010]
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CROSSREFS
| Sequence in context: A092148 A091547 A063854 * A120587 A086914 A123996
Adjacent sequences: A066381 A066382 A066383 * A066385 A066386 A066387
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 23 2001
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