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A060160 2^n - 1 + Fibonacci(n - 1)*2^(n+1). 2
1, 11, 23, 79, 223, 703, 2175, 6911, 22015, 70655, 227327, 733183, 2367487, 7651327, 24739839, 80019455, 258867199, 837550079, 2710044671, 8769241087, 28376563711, 91825897471, 297149661183, 961586135039, 3111737360383, 10069752152063 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,200

FORMULA

a(n)= 5*a(n-1) -4*a(n-2) -8*a(n-3) +8*a(n-4). G.f.: x*(1+6*x-28*x^2+16*x^3)/ ((1-x) * (2*x-1) * (4*x^2+2*x-1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 06 2010]

MAPLE

with(combinat, fibonacci): seq(2^n - 1 + fibonacci(n - 1)*2^(n+1), n=1..25);

PROG

(PARI) { for (n=1, 200, write("b060160.txt", n, " ", 2^n - 1 + fibonacci(n - 1)*2^(n + 1)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 02 2009]

CROSSREFS

Cf. A060161, A000045 (Fibonacci).

Sequence in context: A195463 A104066 A184394 * A158021 A050767 A145918

Adjacent sequences:  A060157 A060158 A060159 * A060161 A060162 A060163

KEYWORD

nonn

AUTHOR

Pieter Gosselink (pieter_gosselink(AT)lotus.com), Mar 12 2001

EXTENSIONS

More terms from Asher Natan Auel (auela(AT)reed.edu), Mar 16 2001

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.