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A117182 a(n) = A117181(n) - A117180(n). +0
3
0, 0, 0, 1, 0, 7, 1, 5, 0, 0, 3, 0, 5, 3, 7, 4, 13, 0, 23, 9, 25, 1, 2, 2, 0, 13, 1, 22, 15, 11, 0, 4, 3, 7, 19, 29, 47, 2, 21, 5, 23, 9, 25, 4, 5, 0, 27, 0, 7, 0, 8, 22, 9, 3, 7, 46, 33, 23, 11, 8, 10, 27, 79, 37, 5, 0, 10, 39, 18, 5, 5, 15, 43, 20, 61, 45, 9, 17, 14, 14, 3, 49, 19, 7, 25, 16, 16 (list; graph; listen)
OFFSET

1,6

EXAMPLE

12, the 4th non-squarefree positive integer, is 2^2 * 3. 2^2 = 4 is the largest prime power dividing 12. 3 is the smallest prime power dividing 12.

So a(4) = 4 - 3 = 1.

MAPLE

A013929 := proc(nmax) local a, n ; a := [] ; n :=1 ; while nops(a) < nmax do if not numtheory[issqrfree](n) then a := [op(a), n] ; fi ; n := n+1 ; od ; a ; end : A034699 := proc(n) local ifs, res; if n = 1 then 1 ; else ifs := ifactors(n)[2] ; seq(op(1, op(i, ifs))^op(2, op(i, ifs)), i=1..nops(ifs)) ; max(%) ; fi ; end: A034684 := proc(n) local ifs, res; if n = 1 then 1 ; else ifs := ifactors(n)[2] ; seq(op(1, op(i, ifs))^op(2, op(i, ifs)), i=1..nops(ifs)) ; min(%) ; fi ; end: a013929 := A013929(200) : for n from 1 to nops(a013929) do printf("%d, ", A034699(op(n, a013929))-A034684(op(n, a013929))) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007

CROSSREFS

Cf. A117180, A117181.

Sequence in context: A020791 A086210 A085467 this_sequence A021587 A065479 A011478

Adjacent sequences: A117179 A117180 A117181 this_sequence A117183 A117184 A117185

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Mar 01 2006

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007

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Last modified September 6 09:40 EDT 2008. Contains 143480 sequences.


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