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A047860
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a(n) = T(3,n), array T given by A047858.
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2
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1, 5, 14, 34, 78, 174, 382, 830, 1790, 3838, 8190, 17406, 36862, 77822, 163838, 344062, 720894, 1507326, 3145726, 6553598, 13631486, 28311550, 58720254, 121634814, 251658238, 520093694, 1073741822, 2214592510, 4563402750
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..3000
Index to sequences with linear recurrences with constant coefficients, signature (5,-8,4).
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FORMULA
| Main diagonal of the array defined by T(0, j)=j+1 j>=0, T(i, 0)=i+1 i>=0, T(i, j)=T(i-1, j-1)+T(i-1, j)+ 2; a(n)=2^(n-1)*(n+6)-2. - Benoit Cloitre, Jun 17 2003
a(0)=1, a(1)=5, a(2)=14, a(n) = 5*a(n-1)-8*a(n-2)+4*a(n-3). - Vincenzo Librandi, Sep 28 2011
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PROG
| (MAGMA) [2^(n-1)*(n+6)-2: n in [0..30]]; // Vincenzo Librandi, Sep 28 2011
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CROSSREFS
| n-th difference of a(n), a(n-1), ..., a(0) is (4, 5, 6, ...).
First differences of A027993.
Sequence in context: A192957 A094584 A023515 * A083332 A101015 A076858
Adjacent sequences: A047857 A047858 A047859 * A047861 A047862 A047863
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KEYWORD
| nonn,easy
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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