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A103295 Number of complete rulers with length n. 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; refs; listen; history; internal format)
OFFSET

0,4

COMMENTS

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: A095095 A003611 A192115 * A178784 A192288 A028344

Adjacent sequences:  A103292 A103293 A103294 * 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 February 15 09:35 EST 2012. Contains 205753 sequences.