A176883 Sum of distances of numbers between successive powers of 2 (beginning with 2^1) to previous numbers with same number of prime factors, repetitions included. See example.
1, 6, 19, 55, 151, 359, 849, 1956, 4416, 9861, 21776, 47659, 103501, 223362, 479527, 1024599, 2180237, 4622633, 9769597, 20587721, 43272599, 90739538, 189867698, 396512548, 826579593, 1720267980, 3574753738, 7417943000, 15372756795, 31819255488
Offset: 1
Keywords
Examples
On (2,3,4), between the powers of 2, 3 is one number beyond previous prime 2. So the sum is 1. On (4,5,6,7,8), 5 is 2 beyond 3, 6 is 2 beyond 4, 7 is 2 beyond 5, for a sum of 2+2+2=6. On (8,9,10,11,12, 13,14,15,16), the distances are 3,1,4,4,2,4,1 for a sum of 19. And so on.
Crossrefs
Cf. A176884.
Extensions
a(5)-a(30) from Ray Chandler, May 05 2010