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A137256 Binomial transform of 2^n, 2^n, 2^n. +0
3
1, 2, 4, 9, 21, 48, 108, 243, 549, 1242, 2808, 6345, 14337, 32400, 73224, 165483, 373977, 845154, 1909980, 4316409, 9754749, 22044960, 49819860, 112588947, 254442141, 575019162, 1299497904, 2936762649, 6636851721, 14998760928 (list; graph; listen)
OFFSET

0,2

COMMENT

Sequence is identical to half its third differences.

FORMULA

Also a(n)=3a(n-1)-3a(n-2)+3a(n-3), A052103.

O.g.f.: -(1-x+x^2)/(-1+3*x-3*x^2+3*x^3). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

CROSSREFS

Cf. A051164.

Sequence in context: A061439 A027711 A084634 this_sequence A051164 A101891 A119967

Adjacent sequences: A137253 A137254 A137255 this_sequence A137257 A137258 A137259

KEYWORD

nonn

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Mar 11 2008

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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