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Search: id:A131577
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| 0, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216, 33554432, 67108864, 134217728, 268435456, 536870912, 1073741824, 2147483648
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A000079 is the main entry for this sequence.
Binomial transform of A000035.
Sequence is identical to its second differences.
Essentially the same as A034008 (and A000079).
a(n) = a(n-1)-th even natural numbers (A005846) for n > 1. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Apr 25 2009]
Where record values greater than 1 occur in A083662: A000045(n)=A083662(a(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 26 2009]
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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Floor(2^(k-1)) with k=-1..n. - Robert G. Wilson v.
G.f.: x/(1-2x); a(n)=(2^n-0^n)/2; [From Paul Barry (pbarry(AT)wit.ie), Jan 05 2009]
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MAPLE
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with(finance):seq(floor(futurevalue(4, 1, n)), n=-3..29); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 24 2009]
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MATHEMATICA
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t = Table[ Floor[2^n], {n, -1, 34}]; d1 = Rest@t - Most@t; d2 = Rest@d1 - Most@d1 (* Robert G. Wilson v *)
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PROGRAM
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(Other) sage: [lucas_number1(n, 2, 0) for n in xrange(0, 33)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
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CROSSREFS
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Cf. A000079, A003945, A042950, A020406, A046045, A011782.
Sequence in context: A011782 A034008 A123344 this_sequence A141531 A166444 A084633
Adjacent sequences: A131574 A131575 A131576 this_sequence A131578 A131579 A131580
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KEYWORD
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nonn
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Aug 29 2007, Dec 06 2007
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 02 2007
Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 13 2007
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