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1, 3, 7, 17, 41, 97, 225, 513, 1153, 2561, 5633, 12289, 26625, 57345, 122881, 262145, 557057, 1179649, 2490369, 5242881, 11010049, 23068673, 48234497, 100663297, 209715201, 436207617, 905969665
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (5,-8,4)
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FORMULA
| Binomial transform of A131055: (1, 2, 2, 4, 4, 6, 6,...). A131056 = A131054 as an infinite lower triangular matrix * [1,2,3,...] as a vector.
G.f.: x*(1-2*x+2*x^3)/((1-x)*(1-2*x)^2); a(n)=-0^n/2+2^(n-1)*(n+1)+1; - Paul Barry (pbarry(AT)wit.ie), Jun 14 2008
a(n) = 2+A099035(n-1), n>1. - From Juri-Stepan Gerasimov, Oct 02 2011
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EXAMPLE
| a(4) = 17 = (1, 3, 3, 1) dot (1, 2, 2, 4) = (1 + 6 + 6 + 4).
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CROSSREFS
| Cf. A131055, A131054.
Cf. A141222.
Sequence in context: A167213 A000600 A192674 * A077851 A089737 A001333
Adjacent sequences: A131053 A131054 A131055 * A131057 A131058 A131059
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 12 2007
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EXTENSIONS
| More terms from Paul Barry (pbarry(AT)wit.ie), Jun 14 2008
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