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A162674 Number of different fixed (possibly) disconnected tetrominoes bounded (not necessarily tightly) by an n X n square. 5
0, 1, 97, 956, 4780, 16745, 46921, 112672, 241536, 474585, 870265, 1508716, 2496572, 3972241, 6111665, 9134560, 13311136, 18969297, 26502321, 36377020, 49142380, 65438681, 86007097, 111699776, 143490400, 182485225, 229934601 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Fixed quasi-tetrominoes.
LINKS
FORMULA
a(n) = n*(n-1)*(8*n^4-16*n^3-9*n^2+17*n+8)/12.
G.f.: x^2*(1+90*x+298*x^2+90*x^3+x^4)/(1-x)^7. [Colin Barker, Apr 25 2012]
EXAMPLE
a(2)=1: the (connected) square tetromino.
CROSSREFS
Cf. A162673, A162675, A162676, A162677, A094171 (free quasi-tetrominoes).
Sequence in context: A045715 A113891 A090157 * A070845 A262925 A093297
KEYWORD
nonn,easy
AUTHOR
David Bevan, Jul 27 2009
STATUS
approved

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Last modified April 17 12:12 EDT 2024. Contains 371763 sequences. (Running on oeis4.)