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 A133043 Number of segments needed to draw the spiral of equilateral triangles with side lengths which follow the Padovan sequence. 1
 3, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Mohammad K. Azarian, A Trigonometric Characterization of  Equilateral Triangle, Problem 336, Mathematics and Computer Education, Vol. 31, No. 1, Winter 1997, p. 96.  Solution published in Vol. 32, No. 1, Winter 1998, pp. 84-85. Mohammad K. Azarian, Equating Distances and Altitude in an Equilateral Triangle, Problem 316, Mathematics and Computer Education, Vol. 28, No. 3, Fall 1994, p. 337.  Solution published in Vol. 29, No. 3, Fall 1995, pp. 324-325. LINKS Index entries for linear recurrences with constant coefficients, signature (2,-1). FORMULA a(1)=3: a(2)=5: a(3)=6; for n>3, a(n)=n+4. MATHEMATICA LinearRecurrence[{2, -1}, {3, 5, 6, 8, 9}, 70] (* Harvey P. Dale, Dec 21 2018 *) PROG (PARI) a(n)=if(n>3, n+4, [3, 5, 6][n]) \\ Charles R Greathouse IV, Oct 27 2011 CROSSREFS Cf. Padovan sequence: A000931. Sequence in context: A201906 A267158 A161529 * A094058 A288134 A175966 Adjacent sequences:  A133040 A133041 A133042 * A133044 A133045 A133046 KEYWORD easy,nonn AUTHOR Omar E. Pol, Nov 04 2007, Nov 05 2007 STATUS approved

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Last modified December 14 22:42 EST 2019. Contains 329987 sequences. (Running on oeis4.)