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 A103645 G.f.: (108x^2+27x+1)/(1+2x-6x^2-27x^3). 2
 1, 25, 64, 49, 961, 100, 6889, 12769, 18496, 225625, 4489, 1844164, 2430481, 6325225, 51724864, 124609, 480881041, 435556900, 2017536889, 11562055729, 741146176, 122363538025, 71895305689, 610401563524, 2514384233761 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A floretion-generated sequence of squares. This sequence is related to several other sequences of squares. LINKS 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) = 25, a(2) = 64. MATHEMATICA CoefficientList[ Series[(108x^2 + 27x + 1)/(1 + 2x - 6x^2 - 27x^3), {x, 0, 25}], x] (* Robert G. Wilson v, Feb 12 2005 *) LinearRecurrence[{-2, 6, 27}, {1, 25, 64}, 30] (* Harvey P. Dale, Jul 04 2022 *) PROG Floretion Algebra Multiplication Program, FAMP Code: 4ibaseiseq[ x*(+ 'i + 'j + i' + j' + 'ii' + 'jj' + 'ij' + 'ji' + e) ] where x is the sum of all (16) floretion basis vectors. CROSSREFS Cf. A103644. Sequence in context: A242317 A251688 A211326 * A061970 A159008 A183373 Adjacent sequences:  A103642 A103643 A103644 * A103646 A103647 A103648 KEYWORD easy,nonn AUTHOR Creighton Dement, Feb 12 2005 STATUS approved

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Last modified October 6 14:09 EDT 2022. Contains 357264 sequences. (Running on oeis4.)