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A155614 9^n-3^n+1^n 6
1, 7, 73, 703, 6481, 58807, 530713, 4780783, 43040161, 387400807, 3486725353, 31380882463, 282429005041, 2541864234007, 22876787671993, 205891117745743, 1853020145805121, 16677181570526407, 150094634909578633 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: 1/(1-9*x)-1/(1-3*x)+1/(1-x). E.g.f.: e^(9*x)-e^(3*x)+e^x.

a(n)=12*a(n-1)-27*a(n-2)+16 with a(0)=1, a(1)=7 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]

MATHEMATICA

Table[9^n-3^n+1, {n, 0, 20}]  (* From Harvey P. Dale, Feb. 3, 2011 *)

CROSSREFS

A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607, A155608, A155609, A155610, A155611, A155612, A155613

Sequence in context: A050917 A025592 A009142 * A113033 A093675 A121127

Adjacent sequences:  A155611 A155612 A155613 * A155615 A155616 A155617

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 26 2009

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Last modified February 15 16:56 EST 2012. Contains 205825 sequences.