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 A189089 Decimal expansion of Pi + sqrt(-1 + Pi^2). 3
 6, 1, 1, 9, 7, 8, 0, 7, 6, 0, 6, 5, 9, 1, 5, 0, 0, 3, 4, 4, 3, 8, 4, 7, 2, 6, 9, 5, 5, 8, 2, 9, 3, 1, 2, 5, 8, 9, 8, 2, 6, 0, 0, 1, 1, 0, 4, 7, 0, 8, 6, 0, 0, 0, 6, 0, 3, 3, 3, 1, 7, 3, 5, 1, 4, 2, 7, 1, 0, 2, 0, 5, 5, 3, 3, 3, 7, 7, 9, 4, 5, 9, 9, 5, 9, 0, 0, 2, 0, 5, 4, 1, 8, 3, 2, 6, 6, 4, 2, 7, 5, 6, 1, 2, 7, 1, 2, 5, 7, 9, 3, 7, 1, 5, 7, 8, 8, 2, 5, 9, 6, 6, 2, 6, 5, 5, 2, 7, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Decimal expansion of the shape (= length/width = Pi + sqrt(-1 + Pi^2)) of the greater 2*Pi-contraction rectangle. See A188738 for an introduction to lesser and greater r-contraction rectangles, their shapes, and partitioning these rectangles into a sets of squares in a manner that matches the continued fractions of their shapes. LINKS EXAMPLE 6.119780760659150034438472695582931258982600110... MATHEMATICA r = 2*Pi; t = (r + (-4 + r^2)^(1/2))/2; FullSimplify[t] N[t, 130] RealDigits[N[t, 130]][[1]] (*A189089*) ContinuedFraction[t, 120]  (*A189090*) CROSSREFS Cf. A188738, A189090, A189088. Sequence in context: A303489 A195408 A011491 * A132047 A140284 A143087 Adjacent sequences:  A189086 A189087 A189088 * A189090 A189091 A189092 KEYWORD nonn,cons AUTHOR Clark Kimberling, Apr 16 2011 STATUS approved

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Last modified May 12 22:31 EDT 2021. Contains 343829 sequences. (Running on oeis4.)