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A103644 G.f. (3x+1)/(1+2x-6x^2-27x^3). +0
3
1, 1, 4, 25, 1, 256, 169, 1225, 5476, 961, 64009, 25600, 358801, 1164241, 515524, 15642025, 3243601, 101284096, 239228089, 216825625, 3736387876, 287336401, 27697946329, 47210598400 (list; graph; listen)
OFFSET

0,3

COMMENT

A floretion-generated sequence of squares.

This sequence is also related to several other sequences of squares.

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

Creighton Dement, Online Floretion Multiplier [From Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), May 24 2009]

FORMULA

a(n+3) = -2a(n+2) + 6a(n+1) + 27a(n), a(0) = 1, a(1) = 1, a(2) = 4

a(n) = (1/11)*(2*3^n-(-5/2-(I*sqrt(11))/2)^n-(-5/2+(I*sqrt(11))/2)^n) [From Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), May 24 2009]

PROGRAM

Floretion Algebra Multiplication Program, FAMP.

CROSSREFS

Cf. A103645.

Sequence in context: A092435 A058230 A162187 this_sequence A082202 A051514 A103363

Adjacent sequences: A103641 A103642 A103643 this_sequence A103645 A103646 A103647

KEYWORD

nonn

AUTHOR

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 11 2005

EXTENSIONS

Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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