A175704 Auto-convolution of A008472.

0, 0, 4, 12, 17, 32, 54, 78, 95, 102, 149, 188, 213, 254, 360, 408, 463, 488, 617, 636, 769, 784, 1111, 1060, 1231, 1172, 1505, 1408, 1756, 1574, 1990, 2060, 2451, 2096, 3099, 2500, 2729, 2862, 3683, 3368, 4166, 3902, 4523, 4396, 4987, 4424, 6579, 5228

Offset

1,3

Comments

A008472 is the sum of the distinct primes dividing n.

Links

Table of n, a(n) for n=1..48.

Formula

a(n) = Sum_{k=1..n} A008472(k)*A008472(n+1-k).

Maple

A175704 := proc(n)
        add(A008472(k)*A008472(n+1-k), k=1..n) ;
end proc: # R. J. Mathar, Jul 10 2012

Crossrefs

Sequence in context: A047958 A300747 A303795 * A350602 A362873 A111371

Adjacent sequences: A175701 A175702 A175703 * A175705 A175706 A175707

Keyword

nonn

Author

Michel Lagneau, Aug 10 2010

Status

approved