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A081678
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(4*6^n-3*5^n-3^n)/6.
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1
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0, 1, 10, 77, 538, 3581, 23170, 147197, 923338, 5738621, 35418130, 217421117, 1329029338, 8096512061, 49190221090, 298195475837, 1804438818538, 10902948379901, 65799224576050, 396702889799357, 2389754663090938
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Binomial transform of A081675.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index to sequences with linear recurrences with constant coefficients, signature (14,-63,90).
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FORMULA
| G.f.: x(1-4x)/((1-3x)(1-5x)(1-6x))
a(0)=0, a(1)=1, a(2)=10, a(n)=14*a(n-1)-63*a(n-2)+90*a(n-3) [From Harvey P. Dale, Jul 25 2011]
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MATHEMATICA
| Table[(4*6^n-3*5^n-3^n)/6, {n, 0, 20}] (* or *) LinearRecurrence[ {14, -63, 90}, {0, 1, 10}, 20] (* From Harvey P. Dale, Jul 25 2011 *)
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PROG
| (MAGMA) [(4*6^n-3*5^n-3^n)/6: n in [0..30]]; // Vincenzo Librandi, Jul 26 2011
(PARI) a(n)=(4*6^n-3*5^n-3^n)/6 \\ Charles R Greathouse IV, Jul 26 2011
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CROSSREFS
| Sequence in context: A185986 A000808 A159579 * A081182 A127536 A016201
Adjacent sequences: A081675 A081676 A081677 * A081679 A081680 A081681
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 28 2003
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