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

Author

Jonathan Vos Post, Nov 30 2007

Keywords

• easy
• nonn
• base

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]

Examples

			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.