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.

A074462 Average digit (rounded up) in the decimal expansion of prime(n).

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%I A074462 #18 Nov 06 2022 18:35:43
%S A074462 2,3,5,7,1,2,4,5,3,6,2,5,3,4,6,4,7,4,7,4,5,8,6,9,8,1,2,3,4,2,4,2,4,5,
%T A074462 5,3,5,4,5,4,6,4,4,5,6,7,2,3,4,5,3,5,3,3,5,4,6,4,6,4,5,5,4,2,3,4,3,5,
%U A074462 5,6,4,6,6,5,7,5,7,7,2,5,5,3,3,4,6,4,6,6,4,5,6,7,7,5,8,3,5,3,4,4,6,6,5,7,5,7,7,6,8,3,5,4,5,6,4,4,5,6,5,7
%N A074462 Average digit (rounded up) in the decimal expansion of prime(n).
%F A074462 a(n) = ceiling(A007605(n)/A097944(n)). - _R. J. Mathar_, Sep 23 2008
%F A074462 a(n) = A004427(A000040(n)). - _Reinhard Zumkeller_, May 27 2010
%e A074462 The prime numbers begin with 2,3,5,7,11,13,17,19,23,... so the average digits rounded up are 2, 3, 5, 7, (1+1)/2=1, (1+3)/2=2, (1+7)/2=4, (1+9)/2=5, ceiling((2+3)/2)=3, ...
%t A074462 Table[Ceiling[Mean[IntegerDigits[p]]],{p,Prime[Range[120]]}] (* _Harvey P. Dale_, Nov 06 2022 *)
%o A074462 (PARI) a(n) = my(d=digits(prime(n))); ceil(vecsum(d)/#d); \\ _Michel Marcus_, Apr 23 2022
%Y A074462 Cf. A000040, A004427, A074461, A073342.
%Y A074462 Cf. A007605, A097944.
%K A074462 easy,nonn,base
%O A074462 1,1
%A A074462 Y. Kelly Itakura (yitkr(AT)mta.ca), Aug 23 2002
%E A074462 Offset changed to 1, cf. to A073342 added, and extended by _R. J. Mathar_, Sep 23 2008