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 A256135 #31 Feb 28 2017 22:47:14 %S A256135 1,5,5,25,5,25,25,125,5,25,25,125,25,125,125,625,5,25,25,125,25,125, %T A256135 125,625,25,125,125,625,125,625,625,3125,5,25,25,125,25,125,125,625, %U A256135 25,125,125,625,125,625,625,3125,25,125,125,625,125,625,625,3125,125,625,625,3125,625,3125,3125,15625 %N A256135 a(n) = 5^A000120(n). %C A256135 Also, a row of the square array A256140. %C A256135 It appears that when A151780 is regarded as a triangle in which the row lengths are the powers of 2, this is what the rows converge to. %F A256135 a(n) = A000351(A000120(n)). - _Michel Marcus_, Mar 21 2015 %F A256135 G.f.: Product_{k>=0} (1 + 5*x^(2^k)). - _Ilya Gutkovskiy_, Feb 28 2017 %e A256135 Also, written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins: %e A256135 1; %e A256135 5; %e A256135 5, 25; %e A256135 5, 25, 25, 125; %e A256135 5, 25, 25, 125, 25, 125, 125, 625; %e A256135 ... %t A256135 5^# & /@ Nest[Join[#, # + 1] &, {0}, 6] (* _Michael De Vlieger_, Mar 20 2015, after _IWABUCHI Yu(u)ki_ at a000120 *) %o A256135 (PARI) a(n) = 5^hammingweight(n); \\ _Michel Marcus_, Mar 21 2015 %Y A256135 Cf. A000120, A001316, A048883, A102376, A130667, A151780, A256140, A256141. %K A256135 nonn %O A256135 0,2 %A A256135 _Omar E. Pol_, Mar 19 2015 %E A256135 More terms from _Michael De Vlieger_, Mar 20 2015