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 A238999 #11 Mar 13 2014 23:03:31 %S A238999 1,0,1,1,1,2,2,2,4,3,5,5,6,8,8,10,12,12,16,16,19,23,23,28,31,33,40,41, %T A238999 47,53,56,64,69,75,86,89,101,109,117,131,139,151,168,175,195,208,223, %U A238999 245,259,280,304,320,350,370,397,430,452,488,521,550,596,626 %N A238999 Number of partitions of n using Fibonacci numbers > 1. %H A238999 Alois P. Heinz, <a href="/A238999/b238999.txt">Table of n, a(n) for n = 0..1000</a> %F A238999 G.f.: 1/Product_{i>=3} (1 - x^Fibonacci(i)). %e A238999 a(12) counts these partitions: 822, 552, 5322, 3333, 33222, 222222. %t A238999 p[n_] := IntegerPartitions[n, All, Fibonacci@Range[3, 60]]; Table[p[n], {n, 0, 12}] (*shows partitions*) %t A238999 a[n_] := Length@p@n; a /@ Range[0, 80] (*counts partitions, A238999*) %o A238999 (PARI) N=66; q='q+O('q^N); Vec( 1/prod(n=1,11,1-q^fibonacci(n+2)) ) \\ _Joerg Arndt_, Mar 11 2014 %Y A238999 Cf. A003107, A000045, A239000. %K A238999 nonn,easy %O A238999 0,6 %A A238999 _Clark Kimberling_, Mar 08 2014