cp's OEIS Frontend

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.

A256136 a(n) = 6^A000120(n).

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%I A256136 #26 Feb 28 2017 22:47:21
%S A256136 1,6,6,36,6,36,36,216,6,36,36,216,36,216,216,1296,6,36,36,216,36,216,
%T A256136 216,1296,36,216,216,1296,216,1296,1296,7776,6,36,36,216,36,216,216,
%U A256136 1296,36,216,216,1296,216,1296,1296,7776,36,216,216,1296,216,1296,1296,7776,216,1296,1296,7776,1296,7776
%N A256136 a(n) = 6^A000120(n).
%C A256136 Also, a row of the square array A256140.
%C A256136 It appears that when A151784 is regarded as a triangle in which the row lengths are the powers of 2, this is what the rows converge to.
%F A256136 a(n) = A000400(A000120(n)). - _Michel Marcus_, Mar 21 2015
%F A256136 G.f.: Product_{k>=0} (1 + 6*x^(2^k)). - _Ilya Gutkovskiy_, Feb 28 2017
%e A256136 Also, written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins:
%e A256136 1;
%e A256136 6;
%e A256136 6, 36;
%e A256136 6, 36, 36, 216;
%e A256136 6, 36, 36, 216, 36, 216, 216, 1296;
%e A256136 ...
%t A256136 6^# & /@ Nest[Join[#, # + 1] &, {0}, 6] (* _Michael De Vlieger_, Mar 20 2015, after _IWABUCHI Yu(u)ki_ at a000120 *)
%o A256136 (PARI) a(n) = 6^hammingweight(n); \\ _Michel Marcus_, Mar 21 2015
%Y A256136 Cf. A000120, A001316, A048883, A102376, A116522, A151784, A256135, A256140, A256141.
%K A256136 nonn
%O A256136 0,2
%A A256136 _Omar E. Pol_, Mar 19 2015
%E A256136 More terms from _Michael De Vlieger_, Mar 20 2015