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.

A356585 Number of decimal digits in the n-th Gosper hyperfactorial of n (A330716).

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%I A356585 #30 Nov 19 2022 21:18:01
%S A356585 1,1,2,16,198,2927,50060,979361,21645853,534381060,14590180163,
%T A356585 436814197446,14235563000269,501817445873045,19029286646922723,
%U A356585 772532087068933899,33434018751249535666,1536767964161539414904,74769012084248550773909
%N A356585 Number of decimal digits in the n-th Gosper hyperfactorial of n (A330716).
%C A356585 The 0th Gosper hyperfactorial is the usual factorial function.
%F A356585 a(n) = A055642(A330716(n)).
%e A356585 a(0)=1 since the 0th Gosper hyperfactorial (0!) has one decimal digit.
%e A356585 a(3)=16 since the 3rd Gosper hyperfactorial of 3 is 1952152956156672.
%t A356585 Floor[Table[1+Sum[Log10[k]*(k^n), {k, 1, n}], {n, 1, 18}]]
%o A356585 (PARI) a(n) = floor(sum(k=1, n, log(k)*k^n/log(10))) + 1; \\ _Michel Marcus_, Sep 27 2022
%Y A356585 Cf. A055642, A330716, A356586.
%K A356585 nonn,base
%O A356585 0,3
%A A356585 _Greg Huber_, Aug 13 2022