Search: id:A005237
Results 1-1 of 1 results found.

%I A005237 M2068
%S A005237 2,14,21,26,33,34,38,44,57,75,85,86,93,94,98,104,116,118,122,133,135,
%T A005237 141,142,145,147,158,171,177,189,201,202,205,213,214,217,218,230,231,
%U A005237 242,243,244,253,285,296,298,301,302,326,332,334,344,374,375,381,387
%N A005237 Numbers n such that n and n+1 have same number of divisors.
%D A005237 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 840.
%D A005237 R. K. Guy, Unsolved Problems in Number Theory, B18.
%D A005237 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A005237 T. D. Noe, <a href="b005237.txt">Table of n, a(n) for n=1..1000</a>
%H A005237 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%F A005237 Is a(n) asymptotic to c*n with 9<c<10 ? - Benoit Cloitre (benoit7848c(AT)orange.fr), 
               Sep 07 2002
%F A005237 Let S = {(n, a(n): n is a positive integer < 2*10^5}, where a(n) is the 
               above sequence. The best-fit (least squares) line through S has equation 
               y = 9.63976 x - 1453.76. S is very linear: the square of the correlation 
               coefficient of {n} and {a(n)} is about 0.999943. - Joseph L. Pe (joseph_l_pe(AT)hotmail.com), 
               May 15 2003
%t A005237 f[n_]:=Length[Divisors[n]]; lst={};Do[If[f[n]==f[n+1],AppendTo[lst,n]],
               {n,7!}];lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 
               14 2009]
%Y A005237 Cf. A000005, A005238, A006601, A049051, A006558, A019273, A039665.
%Y A005237 Equals A0837951 - 1.
%Y A005237 A083795(n-1) - 1.
%Y A005237 Sequence in context: A101398 A131221 A138047 this_sequence A140578 A052213 
               A086263
%Y A005237 Adjacent sequences: A005234 A005235 A005236 this_sequence A005238 A005239 
               A005240
%K A005237 nonn,new
%O A005237 1,1
%A A005237 N. J. A. Sloane (njas(AT)research.att.com).
%E A005237 More terms from Jud McCranie (j.mccranie(AT)comcast.net) Oct 15 1997

Search completed in 0.002 seconds