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A094097 Number of divisor chains of length n which begin with n ("anchored" divisor chains). +0
3
1, 1, 1, 1, 1, 1, 1, 5, 4, 3, 2, 8, 4, 6, 47, 44, 6, 37, 6, 166, 462, 232, 372, 2130, 1589, 9093, 20896, 20314, 4118, 32367, 12815, 167796, 130528, 59173, 1942045, 2607312, 163775, 1297794, 18340336, 22304602, 5065878, 21005347, 3607762, 129164605 (list; graph; listen)
OFFSET

1,8

COMMENT

A divisor chain of length n is an arrangement of 1..n such that each term is a divisor of the sum of the preceding terms.

EXAMPLE

Examples of divisor chains of lengths 1 through 8:

1

2 1

3 1 2

4 2 3 1

5 1 2 4 3

6 2 4 3 5 1

7 1 2 5 3 6 4

8 2 5 3 6 4 7 1

CROSSREFS

Cf. A067957, A094098, A094099.

Sequence in context: A055116 A003561 A081760 this_sequence A145330 A132669 A061836

Adjacent sequences: A094094 A094095 A094096 this_sequence A094098 A094099 A094100

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), following a suggestion of R. K. Guy, May 04 2004

EXTENSIONS

a(1)-a(9) from R. K. Guy and Paul Vaderlind, a(10)-a(19) from Ed Clark, Jr. and Chuck Seggelin, a(20)-a(28) from Chris Landauer (cal(AT)aero.org), May 04, 2004.

a(29)-a(37) from Joseph S. Myers (jsm(AT)polyomino.org.uk), May 04, 2004

a(38) from Jud McCranie (j.mccranie(AT)comcast.net), May 07 2004

a(39)-a(44) from Joseph Myers (jsm(AT)polyomino.org.uk), May 21 2004

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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