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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-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: 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 24 12:49 EST 2022. Contains 350538 sequences. (Running on oeis4.)