A127194 A 10th-order Fibonacci sequence.

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

Offset

1,11

Comments

10th-order 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, heptanacci numbers A060455, octanacci numbers A123526, 9th-order Fibonacci sequence A127193.

Cf. A257073, A257074.

Sequence in context: A370916 A085728 A195955 * A083705 A245003 A372096

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