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A122206 Number of sequences b with last index n with b(0) = 1, b(i+1) = b(i)+d where d|b(i). +0
2
1, 1, 2, 5, 17, 66, 307, 1619, 9668, 64112, 469936, 3773496, 32997159, 312542002, 3192352420, 35023164817, 411288004670, 5154265796088, 68746349160704, 973526723323087, 14605620692012861, 231694886107899371 (list; graph; listen)
OFFSET

0,3

COMMENT

b(n) can be as large as 2^n. [From Max Alekseyev (maxale(AT)gmail.com), May 10 2009]

EXAMPLE

For n=3, the sequences are 1,2,3,4; 1,2,3,6; 1,2,4,5; 1,2,4,6; and 1,2,4,8. We can't have 1,2,3,5 because the difference (5-3) does not divide 3.

CROSSREFS

Cf. A117497, A122205.

Sequence in context: A052539 A008932 A062881 this_sequence A104082 A166474 A054769

Adjacent sequences: A122203 A122204 A122205 this_sequence A122207 A122208 A122209

KEYWORD

nonn

AUTHOR

Frank Adams-Watters (FrankTAW(AT)Netscape.net), Aug 25 2006

EXTENSIONS

a(15)..a(21) from Max Alekseyev (maxale(AT)gmail.com), May 10 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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