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A082472
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a(1)=1, a(n)=sum(k=1,n-1,a(k)*2^k).
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0
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1, 2, 10, 90, 1530, 50490, 3281850, 423358650, 108803173050, 55816027774650, 57211428469016250, 117226216933014296250, 480275810774559571736250, 3934899717675966571235096250, 64473331874120712269687052056250
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| n>=2 a(n+1)=(2^n+1)*a(n); a(n) is asymptotic to c*2^(n*(n-1)/2) where c=prod(k>=1, 1+1/(2*2^k))=1.5894873526.....
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MATHEMATICA
| Join[{1}, RecurrenceTable[{a[1]==2, a[n]==(1+2^n) a[-1+n]}, a[n], {n, 15}]] (* From Harvey P. Dale, May 11 2011 *)
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CROSSREFS
| Cf. A005329.
Sequence in context: A179423 A067550 A086587 * A095937 A108528 A181136
Adjacent sequences: A082469 A082470 A082471 * A082473 A082474 A082475
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KEYWORD
| nonn
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AUTHOR
| Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 27 2003
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