A135255 Partial sums of A102659 read as decimal integers.

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]

Links

Table of n, a(n) for n=1..31.

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

Adjacent sequences: A135252 A135253 A135254 * A135256 A135257 A135258

Keyword

easy,nonn,base

Author

Jonathan Vos Post, Nov 30 2007

Status

approved