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Expansion of Sum_{k>=0} x^(6^k) / (1 - 6*x^(6^k)).
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%I #10 May 30 2024 09:52:11

%S 1,6,36,216,1296,7777,46656,279936,1679616,10077696,60466176,

%T 362797062,2176782336,13060694016,78364164096,470184984576,

%U 2821109907456,16926659444772,101559956668416,609359740010496,3656158440062976,21936950640377856

%N Expansion of Sum_{k>=0} x^(6^k) / (1 - 6*x^(6^k)).

%H Seiichi Manyama, <a href="/A373282/b373282.txt">Table of n, a(n) for n = 1..1000</a>

%F G.f. A(x) satisfies A(x) = x/(1 - 6*x) + A(x^6).

%F If n == 0 (mod 6), a(n) = 6^n + a(n/6) otherwise a(n) = 6^n.

%Y Cf. A187767, A373279, A373280, A373281, A373283.

%Y Cf. A000400, A373216.

%K nonn

%O 1,2

%A _Seiichi Manyama_, May 30 2024