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A094295 a(1) = 1, a(n) = remainder on dividing the concatenation of all previous terms by n. 2

%I #11 Dec 21 2019 15:27:09

%S 1,1,2,0,0,4,4,4,7,7,2,8,4,12,2,10,4,0,6,6,9,9,21,9,19,17,24,12,19,19,

%T 17,13,29,13,3,29,1,7,24,4,32,36,5,1,6,0,28,28,17,17,12,28,15,13,53,9,

%U 49,33,32,52,6,42,14,22,32,58,61,45,45,15,38,2,21,45,70,22,71,11,5,75

%N a(1) = 1, a(n) = remainder on dividing the concatenation of all previous terms by n.

%H Rémy Sigrist, <a href="/A094295/b094295.txt">Table of n, a(n) for n = 1..10000</a>

%e a(9) = 7 = 11200444 (mod 9).

%t f[l_List] := Append[l, Mod[FromDigits[Join @@ IntegerDigits[l]], Length[l] + 1]];Nest[f, {1}, 80] (* _Ray Chandler_, Feb 05 2007 *)

%o (PARI) p=0; for (n=1, 80, print1 (v=if (n==1, 1, p%n)", "); p=p*10^max(1,#digits(v))+v) \\ _Rémy Sigrist_, Dec 21 2019

%Y Cf. A094296.

%K base,nonn

%O 1,3

%A _Amarnath Murthy_, Apr 28 2004

%E Extended by _Ray Chandler_, Feb 05 2007

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Last modified September 3 16:57 EDT 2024. Contains 375672 sequences. (Running on oeis4.)