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Search: id:A163416
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| A163416 |
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a(n) = 20*a(n-1)-98*a(n-2) for n > 1; a(0) = 1, a(1) = 14. |
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+0
2
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| 1, 14, 182, 2268, 27524, 328216, 3866968, 45174192, 524520976, 6063348704, 69863918432, 803070195648, 9214739906624, 105593918958976, 1208833868330368, 13828473308627712, 158103747076178176
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OFFSET
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0,2
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COMMENT
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Binomial transform of A163415. Tenth binomial transform of A143095.
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FORMULA
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a(n) = ((1+2*sqrt(2))*(10+sqrt(2))^n+(1-2*sqrt(2))*(10-sqrt(2))^n)/2.
G.f.: (1-6*x)/(1-20*x+98*x^2).
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PROGRAM
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(MAGMA) [ n le 2 select 13*n-12 else 20*Self(n-1)-98*Self(n-2): n in [1..17] ];
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CROSSREFS
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Cf. A163415, A143095.
Sequence in context: A132010 A126866 A133286 this_sequence A097828 A030008 A091030
Adjacent sequences: A163413 A163414 A163415 this_sequence A163417 A163418 A163419
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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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