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Search: id:A131056
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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
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OFFSET
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1,2
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FORMULA
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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.: (1-2x+2x^3)/((1-x)(1-2x)^2); a(n)=-0^n/2+2^(n-1)*(n+1)+1; - Paul Barry (pbarry(AT)wit.ie), Jun 14 2008
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EXAMPLE
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a(4) = 17 = (1, 3, 3, 1) dot (1, 2, 2, 4) = (1 + 6 + 6 + 4).
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CROSSREFS
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Cf. A131055, A131054.
Cf. A141222.
Sequence in context: A137682 A167213 A000600 this_sequence A077851 A089737 A001333
Adjacent sequences: A131053 A131054 A131055 this_sequence A131057 A131058 A131059
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 12 2007
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EXTENSIONS
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More terms from Paul Barry (pbarry(AT)wit.ie), Jun 14 2008
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