Search: id:A131577 Results 1-1 of 1 results found. %I A131577 %S A131577 0,1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192,16384,32768,65536, %T A131577 131072,262144,524288,1048576,2097152,4194304,8388608,16777216,33554432, %U A131577 67108864,134217728,268435456,536870912,1073741824,2147483648 %N A131577 Zero followed by powers of 2 (cf. A000079). %C A131577 A000079 is the main entry for this sequence. %C A131577 Binomial transform of A000035. %C A131577 Sequence is identical to its second differences. %C A131577 Essentially the same as A034008 (and A000079). %C A131577 a(n) = a(n-1)-th even natural numbers (A005846) for n > 1. [From Jaroslav Krizek (jaroslav.krizek(AT)atlas.cz), Apr 25 2009] %C A131577 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] %H A131577 Index entries for sequences related to linear recurrences with constant coefficients %F A131577 Floor(2^(k-1)) with k=-1..n. - Robert G. Wilson v. %F A131577 G.f.: x/(1-2x); a(n)=(2^n-0^n)/2; [From Paul Barry (pbarry(AT)wit.ie), Jan 05 2009] %p A131577 with(finance):seq(floor(futurevalue(4,1,n)), n=-3..29);# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 24 2009] %t A131577 t = Table[ Floor[2^n], {n, -1, 34}]; d1 = Rest@t - Most@t; d2 = Rest@d1 - Most@d1 (* Robert G. Wilson v *) %o A131577 (Other) sage: [lucas_number1(n,2,0) for n in xrange(0, 33)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009] %Y A131577 Cf. A000079, A003945, A042950, A020406, A046045, A011782. %Y A131577 Sequence in context: A011782 A034008 A123344 this_sequence A141531 A166444 A084633 %Y A131577 Adjacent sequences: A131574 A131575 A131576 this_sequence A131578 A131579 A131580 %K A131577 nonn %O A131577 0,3 %A A131577 Paul Curtz (bpcrtz(AT)free.fr), Aug 29 2007, Dec 06 2007 %E A131577 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 02 2007 %E A131577 Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 13 2007 Search completed in 0.002 seconds