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Search: id:A141291
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| A141291 |
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a(n) = 4*a(n-1) + 2*n-1 |
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+0
2
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| 0, 1, 7, 33, 139, 565, 2271, 9097, 36403, 145629, 582535, 2330161, 9320667, 37282693, 149130799
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OFFSET
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0,3
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FORMULA
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a(n) = 4*a(n-1) + 2*n-1, given a(0) = 0, a(1) = 1. Row sums of triangle A141290 starting with offset 1.
a(n)=-(5/9)-(2/3)*n+(5/9)*4^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Oct 07 2008]
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EXAMPLE
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a(4) = 139 = 4*a(3) + 7 = 4*33 + 7.
a(4) = 139 = sum of row 4 terms of triangle A141290 = (64, + 48 + 20 + 7).
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CROSSREFS
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Cf. A141290.
Sequence in context: A114014 A066810 A034577 this_sequence A089106 A155603 A054256
Adjacent sequences: A141288 A141289 A141290 this_sequence A141292 A141293 A141294
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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 22 2008
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EXTENSIONS
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Corrected definition. Corrected formula. - Paolo P. Lava (ppl(AT)spl.at), Oct 07 2008
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