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A155627 6^n-4^n+1^n 13
1, 3, 21, 153, 1041, 6753, 42561, 263553, 1614081, 9815553, 59417601, 358602753, 2160005121, 12993585153, 78095728641, 469111242753, 2816814940161, 16909479575553, 101491237191681, 609084862103553, 3655058928435201 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

FORMULA

G.f.: 1/(1-6*x)-1/(1-4*x)+1/(1-x). E.g.f.: e^(6*x)-e^(4*x)+e^x.

a(n)=10*a(n-1)-24*a(n-2)+15 with a(0)=1, a(1)=3 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]

EXAMPLE

For n=2, a(2)=10*3-24*1+15=21; n=3, a(3)=10*21-24*3+15=153 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]

CROSSREFS

A155596, A155597, A155598, A155599, A155600, A155601, A155622, A155623, A155624, A155625, A155626

Sequence in context: A074577 A007566 A183412 * A163472 A074575 A091171

Adjacent sequences:  A155624 A155625 A155626 * A155628 A155629 A155630

KEYWORD

nonn

AUTHOR

Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 29 2009

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.