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 A127193 A 9th-order Fibonacci sequence. 17
 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 17, 33, 65, 129, 257, 513, 1025, 2049, 4097, 8185, 16353, 32673, 65281, 130433, 260609, 520705, 1040385, 2078721, 4153345, 8298505, 16580657, 33128641, 66192001, 132253569, 264246529, 527972353, 1054904321 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,10 COMMENTS 9-Bonacci constant = 1.99802947... LINKS Robert Price, Table of n, a(n) for n = 1..1000 E. S. Croot, Notes on Linear Recurrence Sequences M. A. Lerma, Recurrence Relations Index entries for linear recurrences with constant coefficients, signature (1,1,1,1,1,1,1,1,1). FORMULA For a(1)=...=a(9)=1, a(10)=9, a(n)= 2*a(n-1) - a(n-10). - Vincenzo Librandi, Dec 20 2010 G.f.: x*(1-x-x^2-x^3-x^4-x^5-x^6-x^7-x^8+7*x^9)/(1-2*x+x^10). - G. C. Greubel, Jul 28 2017 MATHEMATICA LinearRecurrence[{1, 1, 1, 1, 1, 1, 1, 1, 1}, {1, 1, 1, 1, 1, 1, 1, 1, 1}, 40] (* Ray Chandler, Aug 01 2015 *) With[{c=Table[1, {9}]}, LinearRecurrence[c, c, 40]] (* Harvey P. Dale, Apr 08 2016 *) PROG (PARI) x='x+O('x^50); Vec((x-x^2-x^3-x^4-x^5-x^6-x^7-x^8-x^9+7*x^10)/(1 -2*x+ x^10)) \\ G. C. Greubel, Jul 28 2017 CROSSREFS Cf. Fibonacci numbers A000045, tribonacci numbers A000213, tetranacci numbers A000288, pentanacci numbers A000322, hexanacci numbers A000383, 7th-order Fibonacci numbers A060455, octanacci numbers, A123526. Sequence in context: A260477 A275543 A111733 * A262453 A197344 A146236 Adjacent sequences:  A127190 A127191 A127192 * A127194 A127195 A127196 KEYWORD nonn,easy AUTHOR Luis A Restrepo (luisiii(AT)mac.com), Jan 07 2007 STATUS approved

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Last modified December 5 00:42 EST 2020. Contains 338943 sequences. (Running on oeis4.)