A176761 Partial sums of A030001, starting at n=1.

1, 3, 35, 39, 295, 311, 33079, 33087, 37183, 38207, 1099511665983, 1099511666111, 1099511797183, 1099512059327, 1099514156479, 1099514156495, 1099648374223, 1100722116047, 1100722124239, 1100722126287, 1100722388431, 9896815410639

Offset: 1

Author

Jonathan Vos Post, Apr 25 2010

Keywords

• base
• easy
• nonn

Comments

Partial sums of smallest power of 2 whose decimal expansion contains n. One may see this sequence expressed in binary, rather than decimal, for clarity, though "carries" obscure the characteristic function aspects of structure. The subsequence of primes in this partial sum begins: 3, 311, 1100722116047, 1100722388431.

Examples

			a(6) = 1 + 2 + 32 + 4 + 256 + 16 = 311 is prime.
		

Crossrefs

Cf. A030000, A030001.

Formula

a(n) = SUM[i=1..n] A030001(i).