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Search: id:A103295
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A103295 Number of complete rulers with length n. +0
3
1, 1, 1, 3, 4, 9, 17, 33, 63, 128, 248, 495, 988, 1969, 3911, 7857, 15635, 31304, 62732, 125501, 250793, 503203, 1006339, 2014992, 4035985, 8080448, 16169267, 32397761, 64826967, 129774838, 259822143, 520063531, 1040616486, 2083345793, 4168640894, 8342197304, 16694070805 (list; graph; listen)
OFFSET

0,4

COMMENT

For definitions, references and links related to complete rulers see A103294.

LINKS

Index entries for sequences related to perfect rulers.

Hugo Pfoertner, Count complete rulers of given length. FORTRAN program.

FORMULA

a(n) = Sum(T(n, i), i from 0 to n) = Sum(T(n, i), i from A103298(n) to n), T = A103294

EXAMPLE

a(4)=4 counts the complete rulers with length 4, {[0,2,3,4],[0,1,3,4],[0,1,2,4],[0,1,2,3,4]}.

CROSSREFS

Cf. A103300 (Perfect rulers with length n).

Sequence in context: A093368 A095095 A003611 this_sequence A028344 A078010 A110810

Adjacent sequences: A103292 A103293 A103294 this_sequence A103296 A103297 A103298

KEYWORD

nonn

AUTHOR

Peter Luschny (peter(AT)luschny.de) Feb 28 2005

EXTENSIONS

a(30)-a(36) from Hugo Pfoertner (hugo(AT)pfoertner.org), Mar 17 2005

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


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