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A108906 First differences of A006899. 7

%I #15 May 28 2014 23:01:09

%S 1,1,1,4,1,7,11,5,32,17,47,115,13,256,217,295,1024,139,1909,2465,1631,

%T 8192,3299,13085,26281,6487,65536,46075,84997,262144,7153,517135,

%U 545747,502829,2097152,588665,3605639,5960299,2428309,16777216,9492289

%N First differences of A006899.

%C In the 14th century Levi Ben Gerson proved that this sequence contains only four 1s; see A235365, A235366, A236210. - _Jonathan Sondow_, Jan 20 2014

%H Reinhard Zumkeller, <a href="/A108906/b108906.txt">Table of n, a(n) for n = 1..1000</a>

%p A:={seq(2^n,n=0..63)}: B:={seq(3^n,n=0..40)}: C:=sort(convert(A union B,list)): seq(C[j]-C[j-1],j=2..44); # _Emeric Deutsch_, Aug 03 2005

%t nn = 10^20; t = Union[ 2^Range[0, Floor[Log[2, nn]]], 3^Range[0, Floor[Log[3, nn]]]]; Differences@ t (* _Robert G. Wilson v_, May 26 2014 *)

%o (Haskell)

%o a108906 n = a108906_list !! (n-1)

%o a108906_list = zipWith (-) (tail a006899_list) a006899_list

%o -- _Reinhard Zumkeller_, Oct 09 2013

%Y Cf. A006899.

%Y Cf. also A235365, A235366, A236210.

%K easy,nonn

%O 1,4

%A Ali A. Tanara (tanara(AT)khayam.ut.ac.ir), Jul 17 2005

%E More terms from _Emeric Deutsch_, Aug 03 2005

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Last modified June 11 08:36 EDT 2024. Contains 373293 sequences. (Running on oeis4.)