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A079125 Number of ways to partition the sum of all divisors of n (sigma(n), A000203) into distinct positive integers not greater than n. +0
5
1, 1, 1, 2, 3, 5, 5, 13, 13, 27, 14, 89, 21, 89, 97, 230, 45, 613, 63, 980, 347, 580, 121, 6663, 330, 1289, 1043, 5847, 295, 26488, 389, 12813, 2800, 5411, 2840, 156304, 863, 10433, 6939, 161711, 1425, 272499, 1815, 103738, 61469, 35448, 2909, 2475011 (list; graph; listen)
OFFSET

1,4

FORMULA

a(n) = b(0, n), b(m, n) = 1 + sum(b(i, j): m<i<j<n & i+j=sigma(n)).

CROSSREFS

Cf. A079126, A000009, A079122, A079124, A067953.

Sequence in context: A050368 A079024 A097453 this_sequence A079022 A095296 A094872

Adjacent sequences: A079122 A079123 A079124 this_sequence A079126 A079127 A079128

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 27 2002

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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