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A033453 "INVERT" transform of squares A000290. 4
1, 5, 18, 63, 221, 776, 2725, 9569, 33602, 117995, 414345, 1454992, 5109273, 17941453, 63002258, 221235399, 776878533, 2728045592, 9579660701, 33639430153, 118126444802, 414806579603, 1456612858961 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Number of compositions of n+1 whose parts equal to q can be of q^2 kinds. Example: a(1)=5 because we have (2),(2'),(2"),(2'") and (1,1). Row sums of A105495. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 10 2005

FORMULA

G.f.: (x+1)/(1-4x+2x^2-x^3).

MAPLE

read transforms; [seq(n^2, n=1..50)]; INVERT(%);

CROSSREFS

Cf. A105495.

Sequence in context: A113301 A111567 A029869 * A147535 A184309 A051944

Adjacent sequences:  A033450 A033451 A033452 * A033454 A033455 A033456

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 14 07:57 EST 2012. Contains 205602 sequences.