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Search: id:A163415
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| A163415 |
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a(n) = 18*a(n-1)-79*a(n-2) for n > 1; a(0) = 1, a(1) = 13. |
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+0
3
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| 1, 13, 155, 1763, 19489, 211525, 2267819, 24110267, 254827105, 2682176797, 28147841051, 294769171955, 3082165652161, 32192217154453, 335968822259435, 3504253645468043, 36535028659929409, 380794477886753965
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OFFSET
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0,2
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COMMENT
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Binomial transform of A163414. Inverse binomial transform of A163416.
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FORMULA
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a(n) = ((1+2*sqrt(2))*(9+sqrt(2))^n+(1-2*sqrt(2))*(9-sqrt(2))^n)/2.
G.f.: (1-5*x)/(1-18*x+79*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 12*n-11 else 18*Self(n-1)-79*Self(n-2): n in [1..18] ];
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CROSSREFS
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Cf. A163414, A163416.
Sequence in context: A051475 A097168 A108366 this_sequence A077416 A102146 A097827
Adjacent sequences: A163412 A163413 A163414 this_sequence A163416 A163417 A163418
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 27 2009
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