(Translated by https://www.hiragana.jp/)
# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a080870 Showing 1-1 of 1 %I A080870 #3 Mar 30 2012 18:36:33 %S A080870 1,5,15,41,107,276,708,1811,4629,11827,30214,77182,197159,503632, %T A080870 1286495,3286264,8394533,21443246,54775263,139919550,357414628, %U A080870 912990471,2332169791,5957363305,15217664544,38872451165,99296935817 %N A080870 a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1. %C A080870 Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869. %F A080870 a(n) = floor(x^n)-1, where x=2.554429495392724... %e A080870 Given a(4)=41, then a(5)=107 because 107^4 > (41+1)^5. %Y A080870 Cf. A059923, A080869. %K A080870 nonn %O A080870 1,2 %A A080870 _Paul D. Hanna_, Feb 21 2003 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE