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A085888 Let r and s be such that r + s = n; a(n) = minimum value of sigma(r) + sigma(s). +0
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2, 4, 5, 7, 7, 9, 9, 11, 12, 15, 13, 15, 15, 17, 18, 21, 19, 21, 21, 23, 24, 27, 25, 27, 28, 31, 30, 36, 31, 33, 33, 35, 36, 39, 38, 44, 39, 41, 42, 45, 43, 45, 45, 47, 48, 51, 49, 51, 52, 55, 54, 60, 55, 57, 58, 61, 60, 66, 61, 63, 63, 65, 66, 69, 68, 74, 69, 71, 72, 75, 73, 75 (list; graph; listen)
OFFSET

2,1

COMMENT

a(p+1) = p+2 if p is a prime.

EXAMPLE

a(8) = 9: the partitions are ( 1,7),(2,6),(3,5),(4,4) which give 9,15,10,14 as the sum of sigma functions of both the parts.

CROSSREFS

Cf. A085884.

Sequence in context: A026202 A025511 A140203 this_sequence A112233 A062249 A081404

Adjacent sequences: A085885 A085886 A085887 this_sequence A085889 A085890 A085891

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 08 2003

EXTENSIONS

More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Feb 10 2005

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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