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A048490
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a(n)=T(7,n), array T given by A048483.
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2
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1, 9, 25, 57, 121, 249, 505, 1017, 2041, 4089, 8185, 16377, 32761, 65529, 131065, 262137, 524281, 1048569, 2097145, 4194297, 8388601, 16777209, 33554425, 67108857, 134217721, 268435449, 536870905, 1073741817, 2147483641
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history;
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..28.
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FORMULA
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8 * 2^n - 7. - Ralf Stephan
Equals binomial transform of [1, 8, 8, 8,...]. - Gary W. Adamson, Apr 29 2008
a(n) = A000079(n)*8 - 7. [From Omar E. Pol, Dec 21 2008]
a(n)=2*a(n-1)+7 (with a(0)=1) [From Vincenzo Librandi, Aug 06 2010]
For n>=1, a(n)=6<+>(n+3), where the operation <+> is defined in A206853.-Vladimir Shevelev , Feb 17 2012.
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EXAMPLE
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For n=1, a(1)=2*1+7=9; n=2, a(2)=2*9+7=25; n=3, a(3)=2*25+7=57 [From Vincenzo Librandi, Aug 06 2010]
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MATHEMATICA
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a=1; lst={a}; k=8; Do[a+=k; AppendTo[lst, a]; k+=k, {n, 0, 5!}]; lst [From Vladimir Joseph Stephan Orlovsky, Dec 16 2008]
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CROSSREFS
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n-th difference of a(n), a(n-1), ..., a(0) is (8, 8, 8, ...).
Cf. A000079. [From Omar E. Pol, Dec 21 2008]
Sequence in context: A225322 A031162 A147160 * A113828 A099971 A124702
Adjacent sequences: A048487 A048488 A048489 * A048491 A048492 A048493
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling
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STATUS
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approved
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