This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A062724 #23 Dec 18 2019 13:43:34 %S A062724 2,2,3,5,7,12,18,30,47,77,123,200,322,522,843,1365,2207,3572,5778, %T A062724 9350,15127,24477,39603,64080,103682,167762,271443,439205,710647, %U A062724 1149852,1860498,3010350,4870847,7881197,12752043,20633240,33385282 %N A062724 a(n) = floor(tau^n) + 1, where tau = (1 + sqrt(5))/2. %C A062724 Apart from the first term, this sequence also gives the ceiling of the powers of the golden ratio (cf. A169986). - _Mohammad K. Azarian_, Apr 14 2008 %H A062724 Harry J. Smith, <a href="/A062724/b062724.txt">Table of n, a(n) for n = 0..400</a> %F A062724 a(n) = 3*Fibonacci(n-1) + Fibonacci(n-2) + (n mod 2), n > 0. - _Gary Detlefs_, Dec 29 2010 %t A062724 Floor[GoldenRatio^Range[0,40]]+1 (* _Harvey P. Dale_, Dec 18 2019 *) %o A062724 (PARI) j=[]; for(n=0,60,t=(1+sqrt(5))/2; j=concat(j,floor((t^n))+1)); j %o A062724 (PARI) { default(realprecision, 200); t=(1 + sqrt(5))/2; p=1; for (n=0, 400, if (n, p*=t); write("b062724.txt", n, " ", p\1 + 1) ) } \\ _Harry J. Smith_, Aug 09 2009 %Y A062724 Equals A014217 + 1. %Y A062724 Cf. A169985, A169986. %K A062724 nonn %O A062724 0,1 %A A062724 _Jason Earls_, Jul 15 2001