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A155650
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7^n - 6^n + 1.
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19
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1, 2, 14, 128, 1106, 9032, 70994, 543608, 4085186, 30275912, 222009074, 1614529688, 11664504866, 83828316392, 599858908754, 4277376525368, 30411820662146, 215703854542472, 1526853641242034, 10789535445362648
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..19.
Index to sequences with linear recurrences with constant coefficients, signature (14,-55,42).
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FORMULA
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G.f.: 1/(1-7*x)-1/(1-6*x)+1/(1-x). E.g.f.: e^(7*x)-e^(6*x)+e^x.
a(n)=13*a(n-1)-42*a(n-2)+30 with a(0)=1, a(1)=2 [From Vincenzo Librandi, Jul 21 2010]
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PROG
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(PARI) a(n)= 7^n-6^n+1 \\ Charles R Greathouse IV, Dec 22 2011
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CROSSREFS
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Sequence in context: A060468 A121082 A216595 * A168658 A146971 A048990
Adjacent sequences: A155647 A155648 A155649 * A155651 A155652 A155653
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KEYWORD
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nonn,easy,changed
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AUTHOR
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Mohammad K. Azarian, Jan 31 2009
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STATUS
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approved
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