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A244744
Smallest number with additive excess n.
0
46, 253, 649, 6049, 69989, 166213, 551137, 9064261, 68444596, 347562415, 612220081
OFFSET
1,1
COMMENTS
Let m = Product p_j ^ a_j be the standard prime factorization of m. The additive excess of m is defined to be Sum||p_j ^ a_j|| - ||m|| where ||m||=A005245(n) is the complexity of n.
The n-th term of this sequence is the least number m with additive excess n.
LINKS
J. Arias de Reyna and J. van de Lune, The question "How many 1's are needed?" revisited, arXiv preprint arXiv:1404.1850 [math.NT], 2014.
EXAMPLE
||253||=17, ||11||=8, ||23||=11. 11 + 8 - 17 = 2. The second term is 253.
CROSSREFS
Sequence in context: A251410 A251403 A026913 * A156841 A086979 A289274
KEYWORD
nonn,more
AUTHOR
Juan Arias-de-Reyna, Jul 05 2014
STATUS
approved