This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A062724 [tau^n] + 1, where tau = (1+sqrt(5))/2. 4
 2, 2, 3, 5, 7, 12, 18, 30, 47, 77, 123, 200, 322, 522, 843, 1365, 2207, 3572, 5778, 9350, 15127, 24477, 39603, 64080, 103682, 167762, 271443, 439205, 710647, 1149852, 1860498, 3010350, 4870847, 7881197, 12752043, 20633240, 33385282 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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 LINKS Harry J. Smith, Table of n, a(n) for n=0,...,400 FORMULA a(n)=3*Fibonacci(n-1)+Fibonacci(n-2)+(n mod 2), n>0 [From Gary Detlefs, Dec 29 2010] PROG (PARI) j=[]; for(n=0, 60, t=(1+sqrt(5))/2; j=concat(j, floor((t^n))+1)); j (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) ) } [From Harry J. Smith, Aug 09 2009] CROSSREFS Equals A014217 + 1. Cf. A169985, A169986. Sequence in context: A118987 A218557 A060699 * A126024 A179316 A127678 Adjacent sequences:  A062721 A062722 A062723 * A062725 A062726 A062727 KEYWORD nonn AUTHOR Jason Earls (zevi_35711(AT)yahoo.com), Jul 15 2001 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .