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A100896 a(n) has decimal expansion 3nn3. 5

%I #14 Sep 08 2022 08:45:15

%S 3003,3113,3223,3333,3443,3553,3663,3773,3883,3993,310103,311113,

%T 312123,313133,314143,315153,316163,317173,318183,319193,320203,

%U 321213,322223,323233,324243,325253,326263,327273,328283,329293,330303,331313,332323

%N a(n) has decimal expansion 3nn3.

%H Robert Israel, <a href="/A100896/b100896.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = 3nn3 where n=0, 1, 2, 3, ...

%F a(n) = 3*(1+10^(2*d+1))+n*(10+10^(d+1)) where d = A055642(n). - _Robert Israel_, Mar 08 2018

%e If n=5, then 3nn3 is 3553.

%p f:= proc(n) local d; d:= ilog10(n)+1; 3*(1+10^(2*d+1))+n*(10+10^(d+1)) end proc:

%p 3003, seq(f(n),n=1..100); # _Robert Israel_, Mar 08 2018

%t FromDigits/@Table[Join[{3},IntegerDigits[i],IntegerDigits[i],{3}],{i,0,40}] (* _Harvey P. Dale_, Sep 22 2014 *)

%o (Magma) [3003] cat [3*(1+10^(2*#Intseq(n)+1))+n*(10+10^(#Intseq(n)+1)): n in [1..40]]; // _Vincenzo Librandi_, Mar 09 2018

%Y Cf. A100846.

%K nonn,base,easy

%O 0,1

%A _Parthasarathy Nambi_, Jan 10 2005

%E More terms from Brian Lauer (bel136(AT)psu.edu), Feb 21 2006

%E Offset changed to 0 by _Robert Israel_, Mar 08 2018

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)