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 A153280 Eigensequence of triangle A153279 2
 1, 3, 15, 165, 4785, 397155, 97302975, 71128474725, 155700231173025, 1021860617188563075, 20115326249356864131375, 1187830130350772183821825125, 210422919761508941591852499068625, 111827787746815596446398867662527275875 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA Given triangle A153279, let a new triangle = M shifted down one row, inserting a "1" in (0,0). Triangle A153280 = Lim_{n..inf.} M^n a(n+1) = a(n)*(2+3^n), a(0) = 1. - Philippe Deléham, Sep 27 2014 EXAMPLE Triangle M = 1; 1; 2, 1; 4, 2, 3; 8, 4, 6, 9; 16, 8, 12, 18, 27; ... M^n rapidly converges to A153280 with sufficiently large n. a(0) = 1, a(1) = 1*(2+3^0) = 3, a(2) = 3*(2+3^1) = 15, a(3) = 15*(2+3^2) = 165, a(4) = 165*(2+3^3) = 4785, ... - Philippe Deléham, Sep 27 2014 CROSSREFS Sequence in context: A080696 A015013 A269694 * A132683 A059386 A077792 Adjacent sequences:  A153277 A153278 A153279 * A153281 A153282 A153283 KEYWORD nonn AUTHOR Gary W. Adamson, Dec 23 2008 EXTENSIONS More terms from Philippe Deléham, Sep 27 2014 STATUS approved

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Last modified June 23 13:01 EDT 2021. Contains 345401 sequences. (Running on oeis4.)