A356585 Number of decimal digits in the n-th Gosper hyperfactorial of n (A330716).
1, 1, 2, 16, 198, 2927, 50060, 979361, 21645853, 534381060, 14590180163, 436814197446, 14235563000269, 501817445873045, 19029286646922723, 772532087068933899, 33434018751249535666, 1536767964161539414904, 74769012084248550773909
Offset: 0
Examples
a(0)=1 since the 0th Gosper hyperfactorial (0!) has one decimal digit. a(3)=16 since the 3rd Gosper hyperfactorial of 3 is 1952152956156672.
Programs
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Mathematica
Floor[Table[1+Sum[Log10[k]*(k^n), {k, 1, n}], {n, 1, 18}]] -
PARI
a(n) = floor(sum(k=1, n, log(k)*k^n/log(10))) + 1; \\ Michel Marcus, Sep 27 2022
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