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A128215 a(1)=a(2)=1. a(n+1) = a(n) + a(largest prime dividing n). +0
2
1, 1, 2, 4, 5, 10, 12, 24, 25, 27, 32, 64, 66, 132, 144, 149, 150, 300, 302, 604, 609, 621, 653, 1306, 1308, 1313, 1379, 1381, 1393, 2786, 2791, 5582, 5583, 5615, 5765, 5777, 5779, 11558, 11860, 11926, 11931, 23862, 23874, 47748, 47780, 47785, 48438, 96876 (list; graph; listen)
OFFSET

1,3

EXAMPLE

The largest prime dividing 12 is 3. So a(13) = a(12) + a(3) = 64 + 2 = 66.

MAPLE

with(numtheory): a[1]:=1:a[2]:=1:for n from 2 to 55 do a[n+1]:=a[n]+a[factorset(n)[nops(factorset(n))]] od: seq(a[n], n=1..55); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 07 2007

CROSSREFS

Cf. A128216, A006530.

Sequence in context: A120491 A022944 A133732 this_sequence A097132 A013578 A105138

Adjacent sequences: A128212 A128213 A128214 this_sequence A128216 A128217 A128218

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Feb 19 2007

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 07 2007

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Last modified September 6 00:03 EDT 2008. Contains 143485 sequences.


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