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Search: id:A164553
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| A164553 |
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a(n) = 14*a(n-1)-43*a(n-2) for n > 1; a(0) = 1, a(1) = 11. |
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3
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| 1, 11, 111, 1081, 10361, 98571, 934471, 8844041, 83634321, 790586731, 7471938431, 70611908601, 667273367881, 6305515080491, 59584456307991, 563045239850761, 5320501736667041, 50276078999755851, 475083531319899151
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OFFSET
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0,2
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COMMENT
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Binomial transform of A164552.
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FORMULA
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a(n) = ((3+2*sqrt(6))*(7+sqrt(6))^n+(3-2*sqrt(6))*(7-sqrt(6))^n)/6.
G.f.: (1-3*x)/(1-14*x+43*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 10*n-9 else 14*Self(n-1)-43*Self(n-2): n in [1..19] ];
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CROSSREFS
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Cf. A164552.
Sequence in context: A143573 A058947 A101680 this_sequence A110437 A110444 A114397
Adjacent sequences: A164550 A164551 A164552 this_sequence A164554 A164555 A164556
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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), Aug 15 2009
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