Search: id:A001837 Results 1-1 of 1 results found. %I A001837 M5406 N2349 %S A001837 157,262,367,412,472,487,577,682,787,877,892,907,997,1072, %T A001837 1207,1237,1312,1402,1522,1567,1627,1657,1732,1852,1942,2047, %U A001837 2062,2152,2194,2257,2362,2437,2467,2557,2572,2677,2722,2782 %N A001837 Numbers n such that phi(2n+1) < phi(2n). %C A001837 Greg Martin (gerg(AT)math.toronto.edu) writes: I recently calculated the smallest solution of phi(30n+1) < phi(30n) (Amer. Math. Monthly 106 (1999), no. 5, 449-451); it has 1116 digits. %D A001837 J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 157, p. 51, Ellipses, Paris 2008. %D A001837 V. L. Klee, Jr., Some remarks on Euler's totient function, Amer. Math. Monthly, 54 (1947), 332. %D A001837 J. O. Shallit, personal communication. %D A001837 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A001837 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %p A001837 with(numtheory,phi); f := proc(n) if phi(2*n+1) < phi(2*n) then RETURN(n) fi end; %t A001837 Select[ Range[4000], EulerPhi[2# + 1] < EulerPhi[2# ] & ] %Y A001837 Cf. A000010. %Y A001837 Sequence in context: A142231 A020356 A142367 this_sequence A142581 A140625 A142874 %Y A001837 Adjacent sequences: A001834 A001835 A001836 this_sequence A001838 A001839 A001840 %K A001837 nonn %O A001837 1,1 %A A001837 N. J. A. Sloane (njas(AT)research.att.com). Search completed in 0.001 seconds