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A164828

Generalized Fibonacci numbers.

1, 1, 11, 120, 122, 1331, 1462, 15960, 17413, 190081, 207503, 2265120, 2472614, 26991251, 29463874, 321630000, 351093865, 3832568641, 4183662515, 45669193800, 49852856306, 544197756851, 594050613166, 6484703888520, 7078754501677, 77272248905281

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..26.

Index entries for linear recurrences with constant coefficients, signature (0,11,0,11,0,-1).

FORMULA

For n odd a(n) = 11a(n-2) + a(n-3), for n even a(n) = 11a(n-1)- a(n-3); with a(1,2) = 1 (For Fibonacci sequence: factor 2 instead of 11).

G.f.: x*(1+x+109*x^3-10*x^4)/((1+x^2)*(1-12*x^2+x^4)). [Colin Barker, Jul 27 2012]

MATHEMATICA

LinearRecurrence[{0, 11, 0, 11, 0, -1}, {1, 1, 11, 120, 122, 1331}, 30] (* Harvey P. Dale, Jun 14 2014 *)

CROSSREFS

Cf. A000045, A041059.

Sequence in context: A254600 A354906 A060499 * A060498 A274119 A171316

Adjacent sequences: A164825 A164826 A164827 * A164829 A164830 A164831

KEYWORD

nonn,easy

AUTHOR

Mark Dols, Aug 27 2009

STATUS

approved

URL: https://oeis.org/A164828

⇱ A164828 - OEIS