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a(n) = A153880(A265905(n)); also the first differences of A265905.
5

%I #10 Aug 16 2016 09:45:18

%S 2,8,38,242,1688,13238,121442,1212968,13211798,160076282,2080120448,

%T 28952201678,436718865962,6985509376688,118290516617198,

%U 2137197890239202,40600129761103688,809755594446845558,17050115848925513762,375062123907891088808,8608573107134508912038,207014026157802769184402,5174962975935097945559048

%N a(n) = A153880(A265905(n)); also the first differences of A265905.

%C In factorial base (A007623) these numbers are just like those in A265905, but shifted once left, with an extra zero appended:

%C 10, 110, 1210, 20010, 220110, 2421210, 30040010, 330440110, 3635241210, 40111110010, 441222210110, 4853444311210, 50188010430010, <the first term with digit-value "10">, ...

%H Antti Karttunen, <a href="/A265906/b265906.txt">Table of n, a(n) for n = 1..120</a>

%H <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>

%F a(n) = A153880(A265905(n)).

%F a(n) = A265905(n+1) - A265905(n).

%o (Scheme, two variants)

%o (define (A265906 n) (A153880 (A265905 n)))

%o (define (A265906 n) (- (A265905 (+ 1 n)) (A265905 n)))

%Y Row 2 of A275950.

%Y First differences of A265905.

%Y Cf. A007623, A153880.

%K nonn,base

%O 1,1

%A _Antti Karttunen_, Dec 20 2015