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A135255
Partial sums of A102659 read as decimal integers.
0
1, 3, 15, 127, 249, 1361, 2483, 3705, 14817, 25939, 37151, 48373, 60495, 72717, 183829, 294951, 406163, 517385, 629507, 741719, 853941, 975163, 1097385, 2208497, 3319619, 4430831, 5542053, 6654165, 7766287, 8878499, 9990721
OFFSET
1,2
COMMENTS
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?
The subsequence of primes in this partial sum begins: 3, 127, 1361, 25939, 183829, 2208497, 3319619. [From Jonathan Vos Post, Mar 21 2010]
EXAMPLE
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]
CROSSREFS
Cf. A102659.
Sequence in context: A212553 A229673 A266091 * A182489 A330804 A335390
KEYWORD
easy,nonn,base
AUTHOR
Jonathan Vos Post, Nov 30 2007
STATUS
approved