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A039697
a(n) = Sum(p_j) * Sum(k_j) where n = Product(p_j^k_j).
5
1, 2, 3, 4, 5, 10, 7, 6, 6, 14, 11, 15, 13, 18, 16, 8, 17, 15, 19, 21, 20, 26, 23, 20, 10, 30, 9, 27, 29, 30, 31, 10, 28, 38, 24, 20, 37, 42, 32, 28, 41, 36, 43, 39, 24, 50, 47, 25, 14, 21, 40, 45, 53, 20, 32, 36, 44, 62, 59, 40, 61, 66, 30, 12, 36, 48, 67, 57, 52, 42, 71, 25
OFFSET
1,2
LINKS
EXAMPLE
14 = 2^1 * 7^1, a(14) = (2+7)*(1+1) = 18.
MATHEMATICA
Array[Plus@@First/@FactorInteger[ # ]*Plus@@Last/@FactorInteger[ # ]&, 5! ] (* Vladimir Joseph Stephan Orlovsky, Feb 28 2010 *)
CROSSREFS
Term-wise product of A001222 and A008472.
Sequence in context: A360521 A320870 A252022 * A319131 A231566 A072620
KEYWORD
nonn,easy
STATUS
approved