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Search: id:A165323
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| A165323 |
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a(0)=1, a(1)=8, a(n)=17*a(n-1)-64*a(n-2) for n>1. |
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+0
2
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| 1, 8, 72, 712, 7496, 81864, 911944, 10263752, 116119368, 1317149128, 14959895624, 170020681416, 1932918264136, 21978286879688, 249924108049992, 2842099476549832, 32320548186147656, 367554952665320904
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n)/a(n-1) tends to (17+sqrt(33))/2 = 11.3722813...
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FORMULA
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G.f.: (1-9x)/(1-17x+64x^2). a(n)= Sum_{k, 0<=k<=n}A165253(n,k)*8^(n-k).
a(n) = ((33-sqrt(33))*(17+sqrt(33))^n+(33+sqrt(33))*(17-sqrt(33))^n)/(66*2^n). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 28 2009]
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CROSSREFS
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Sequence in context: A082414 A145303 A098411 this_sequence A082366 A049388 A014479
Adjacent sequences: A165320 A165321 A165322 this_sequence A165324 A165325 A165326
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 14 2009
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