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A003222 2^(3*n+1)-2*n*(2*n+1). 1
2, 10, 108, 982, 8120, 65426, 524132, 4194094, 33554160, 268435114, 2147483228, 17179868678, 137438952872, 1099511627074, 8796093021396, 70368744176734, 562949953420256, 4503599627369306, 36028797018962636 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index to sequences with linear recurrences with constant coefficients, signature (11,-27,25,-8). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 05 2010]

FORMULA

a(n)= +11*a(n-1) -27*a(n-2) +25*a(n-3) -8*a(n-4) G.f.: 2*(1-6*x+26*x^2+7*x^3)/ ( (8*x-1)* (x-1)^3) [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 05 2010]

PROG

(MAGMA) [2^(3*n+1)-2*n*(2*n+1): n in [0..20]]; // Vincenzo Librandi, Jun 26 2011

CROSSREFS

Equals A013730 - A002943.

Sequence in context: A049538 A127728 A185396 * A003167 A062412 A006608

Adjacent sequences:  A003219 A003220 A003221 * A003223 A003224 A003225

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 06:27 EST 2012. Contains 205998 sequences.