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A135255 Partial sums of A102659 read as decimal integers. 0

%I #7 Mar 30 2012 18:40:44

%S 1,3,15,127,249,1361,2483,3705,14817,25939,37151,48373,60495,72717,

%T 183829,294951,406163,517385,629507,741719,853941,975163,1097385,

%U 2208497,3319619,4430831,5542053,6654165,7766287,8878499,9990721

%N Partial sums of A102659 read as decimal integers.

%C The initial 5 ones of 11111843 of a(32) leads me to conjecture that some element of this sequence is, base 10, a concatenation of the digits (1,2). Could there be an element which is also one of the Lyndon words in the underlying A102659?

%C The subsequence of primes in this partial sum begins: 3, 127, 1361, 25939, 183829, 2208497, 3319619. [From _Jonathan Vos Post_, Mar 21 2010]

%e a(25) = 1 + 2 + 12 + 112 + 122 + 1112 + 1122 + 1222 + 11112 + 11122 + 11212 + 11222 + 12122 + 12222 + 111112 + 111122 + 111212 + 111222 + 112122 + 112212 + 112222 + 121222 + 122222 + 1111112 + 1111122 = 3319619 is prime. [From _Jonathan Vos Post_, Mar 21 2010]

%Y Cf. A102659.

%K easy,nonn,base

%O 1,2

%A _Jonathan Vos Post_, Nov 30 2007

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Last modified April 25 08:25 EDT 2024. Contains 371964 sequences. (Running on oeis4.)