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 A103644 Expansion of g.f. (3x+1)/(1+2x-6x^2-27x^3). 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; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS A floretion-generated sequence of squares. This sequence is also related to several other sequences of squares. LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 Creighton Dement, Online Floretion Multiplier. [From Creighton Dement, May 24 2009] Index entries for linear recurrences with constant coefficients, signature (-2,6,27). 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). [Creighton Dement, May 24 2009] MATHEMATICA CoefficientList[Series[(3x+1)/(1+2x-6x^2-27x^3), {x, 0, 30}], x] (* or *) LinearRecurrence[{-2, 6, 27}, {1, 1, 4}, 30] (* Harvey P. Dale, Dec 13 2017 *) PROG Floretion Algebra Multiplication Program, FAMP. CROSSREFS Cf. A103645. Sequence in context: A092435 A058230 A162187 * A185070 A272680 A082202 Adjacent sequences:  A103641 A103642 A103643 * A103645 A103646 A103647 KEYWORD nonn,easy AUTHOR Creighton Dement, Feb 11 2005 EXTENSIONS Corrected by T. D. Noe, Nov 07 2006 STATUS approved

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Last modified October 1 16:19 EDT 2022. Contains 357149 sequences. (Running on oeis4.)