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A135245 Aliquot predecessors with the largest degrees. +0
2
0, 0, 4, 9, 0, 25, 8, 49, 15, 14, 21, 121, 35, 169, 33, 12, 55, 289, 65, 361, 91, 20, 85, 529, 143, 46, 133, 28, 187, 841, 161, 961, 247, 62, 253, 24, 323, 1369, 217, 81, 391, 1681, 341, 1849, 403, 86, 493, 2209, 551, 40, 481, 0, 667, 2809, 533, 106, 703, 68, 697, 3481 (list; graph; listen)
OFFSET

1,3

COMMENT

Find each node's predecessors in aliquot sequences, and choose the node with largest number of predecessors.

Climb the aliquot trees on thickest branches (see A1666666 - Climb the aliquot trees on shortest paths).

LINKS

Ophir Spector, Table of n, a(n) for n = 1..150

W. Creyaufmueller, Aliquot sequences

MathWorld, Aliquot sequence

J. M. Pedersen, Tables of Aliquot Cycles

EXAMPLE

a(25) = 143 since 25 has 3 predecessors (95,119,143) with degrees (4,5,7), 143 having the largest degree. a(5) = 0 since it has no predecessors (See Untouchables - A005114).

CROSSREFS

Cf. A001065 A005114 A125601 A135244 A057709 A057710 A063769 A080907 A121507 A037020 A126016.

Adjacent sequences: A135242 A135243 A135244 this_sequence A135246 A135247 A135248

Sequence in context: A085675 A070439 A056584 this_sequence A135244 A011514 A011238

KEYWORD

nonn

AUTHOR

Ophir Spector, ospectoro (AT) yahoo.com, Nov 25 2007

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.


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