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1, 9, 65, 513, 4097, 32769, 262145, 2097153, 16777217, 134217729, 1073741825, 8589934593, 68719476737, 549755813889, 4398046511105, 35184372088833, 281474976710657, 2251799813685249, 18014398509481985, 144115188075855873
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n)^3 is palindromic in base 8 (1,1331,1030301,1003003001,....)
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LINKS
| P. De Geest, World!Of Numbers
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FORMULA
| G.f.: (1-8x^2)/((1-x)(1-8x)); a(n)=sum{k=0..n, binomial(n, k)*0^(k(n-k))*8^k}.
a(n)=A062395(n), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 28 2008]
a(n)=8*a(n-1)-7, with a(1)=9. [From Vincenzo Librandi, Dec 29 2010]
a(0)=1, a(1)=9, a(2)=65, a(n)=9*a(n-1)-8*a(n-2) [From Harvey P. Dale, Oct 21 2011]
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MATHEMATICA
| Join[{1}, 8^Range[20]+1] (* or *) Join[{1}, LinearRecurrence[{9, -8}, {9, 65}, 20]] (* From Harvey P. Dale, Oct 21 2011 *)
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CROSSREFS
| Cf. A046233.
Sequence in context: A020234 A154996 A128195 * A100311 A120286 A152581
Adjacent sequences: A103456 A103457 A103458 * A103460 A103461 A103462
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 07 2005
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