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1, 13, 129, 1357, 14721, 161293, 1772289, 19489357, 214365441, 2357967373, 25937483649, 285311847757, 3138428908161, 34522713738253, 379749838366209, 4177248183764557, 45949729906618881, 505447028628433933
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a^n+b^n-1^n=(a+b)*a(n-1)-(a*b)*a(n-2)-(a-1)*(b-1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
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FORMULA
| G.f.: 1/(1-11*x)+1/(1-3*x)-1/(1-x). E.g.f.: e^(11*x)+e^(3*x)-e^x.
a(n)=14*a(n-1)-33*a(n-2)-20 with a(0)=1, a(1)=13 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
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EXAMPLE
| For n=2, a(2)=14*13-33*1-20=129; n=3, a(3)=14*129-33*13-20=1357 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jul 21 2010]
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CROSSREFS
| A155588, A155589, A155590, A155592, A155593, A155594, A155595, A155596, A155597, A155598, A155599, A155600, A155601, A155622
Sequence in context: A147669 A076457 A016162 * A023061 A121033 A006100
Adjacent sequences: A155620 A155621 A155622 * A155624 A155625 A155626
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KEYWORD
| nonn
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 29 2009
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