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 A127194 A 10th order Fibonacci sequence. 9
 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 10, 19, 37, 73, 145, 289, 577, 1153, 2305, 4609, 9217, 18424, 36829, 73621, 147169, 294193, 588097, 1175617, 2350081, 4697857, 9391105, 18772993, 37527562, 75018295, 149962969, 299778769, 599263345, 1197938593 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,11 COMMENTS 10th-Fibonacci constant = 1.999018633... 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 (1,1,1,1,1,1,1,1,1,1). FORMULA O.g.f.: x*(-1+x^2+2*x^3+3*x^4+4*x^5+5*x^6+6*x^7+7*x^8+8*x^9) / (-1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10) . - R. J. Mathar, Nov 23 2007 MATHEMATICA With[{t=Table[1, {10}]}, LinearRecurrence[t, t, 40]] (* Harvey P. Dale, Nov 12 2013 *) PROG (PARI) a(n)=([0, 1, 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 1, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 1, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 1, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 1, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 1, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 1, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0, 1; 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]^(n-1)*[1; 1; 1; 1; 1; 1; 1; 1; 1; 1])[1, 1] \\ Charles R Greathouse IV, Jun 15 2015 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, 9th order Fibonacci sequence A127193. Cf. A257073, A257074. Sequence in context: A109334 A085728 A195955 * A083705 A245003 A298487 Adjacent sequences:  A127191 A127192 A127193 * A127195 A127196 A127197 KEYWORD nice,nonn,easy AUTHOR Luis A Restrepo (luisiii(AT)hotmail.com), Jan 11 2007 STATUS approved

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Last modified January 17 13:59 EST 2021. Contains 340242 sequences. (Running on oeis4.)