

A164828


Generalized Fibonacci numbers.


0



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 to sequences with linear recurrences with constant coefficients, signature (0,11,0,11,0,1).


FORMULA

For n odd a(n) = 11a(n2) + a(n3), for n even a(n) = 11a(n1) a(n3); with a(1,2) = 1 (For Fibonacci sequence: factor 2 instead of 11).
G.f.: x*(1+x+109*x^310*x^4)/((1+x^2)*(112*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: A125468 A163447 A060499 * A060498 A171316 A081122
Adjacent sequences: A164825 A164826 A164827 * A164829 A164830 A164831


KEYWORD

nonn,easy


AUTHOR

M. Dols (markdols99(AT)yahoo.com), Aug 27 2009


EXTENSIONS

More terms from Harvey P. Dale, Jun 14 2014


STATUS

approved



