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.

A109635 Sum of prime(n) and n-th digit of Pi after the decimal point.

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%I A109635 #14 Apr 25 2020 18:16:07
%S A109635 3,7,6,12,20,15,23,24,26,34,39,46,48,52,50,55,62,69,71,77,75,85,87,92,
%T A109635 100,109,106,109,116,122,132,131,139,147,157,155,158,172,174,174,185,
%U A109635 190,194,202,206,202,218,228,228,229,238,247,243,251,266,270,273,280
%N A109635 Sum of prime(n) and n-th digit of Pi after the decimal point.
%C A109635 In some cases n resembles the prime number in the subsequent prime row. Some slight intervals can be observed: for example 599(593+6) to 641(641+0) to 691(683+8) to 743(743+0) to 809(811+2), each 8 rows apart and 3 instances 10 rows apart.
%H A109635 Alois P. Heinz, <a href="/A109635/b109635.txt">Table of n, a(n) for n = 1..1000</a>
%F A109635 a(n) ~ n log n.
%e A109635 The first column gives the primes, the second column the digits of Pi and the third column their sum.
%e A109635 2 1 3
%e A109635 3 4 7
%e A109635 5 1 6
%e A109635 7 5 12
%e A109635 ...
%t A109635 Total/@With[{nn=60},Thread[{Prime[Range[nn]],Rest[RealDigits[Pi,10,nn+1][[1]]]}]] (* _Harvey P. Dale_, Apr 25 2020 *)
%K A109635 nonn,base,less
%O A109635 1,1
%A A109635 _E.J.P. Vening_, Aug 03 2005