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Search: id:A131428
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| 1, 1, 3, 9, 27, 83, 263, 857, 2859, 9723, 33591, 117571, 416023, 1485799, 5348879, 19389689, 70715339, 259289579, 955277399, 3534526379, 13128240839, 48932534039, 182965127279, 686119227299, 2579808294647, 9723892802903
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OFFSET
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0,3
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COMMENT
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Starting (1, 3, 9, 27, 83,...), = row sums of triangle A136522 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 02 2008
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FORMULA
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Right border of triangle A131429.
a(n)=2*binom(2n,n)/(n+1) - 1. G.f.=[1-sqrt(1-4x)]/x - 1/(1-x). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 25 2007
(1, 3, 9, 27, 83,...) = row sums of A118976. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 31 2007
Row sums of triangle A131428 starting (1, 3, 9, 27, 83,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 31 2007
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EXAMPLE
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a(3) = 9 = 2*C(3) - 1 = 2*5 - 1; where C refers to the Catalan numbers, A000108.
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MAPLE
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seq(2*binomial(2*n, n)/(n+1)-1, n=0..25); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 25 2007
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CROSSREFS
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Cf. A000108, A131427, A131429.
Cf. A131428, A118976.
Cf. A136522.
Sequence in context: A083591 A052917 A099786 this_sequence A099787 A113994 A029527
Adjacent sequences: A131425 A131426 A131427 this_sequence A131429 A131430 A131431
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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), Jul 10 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 25 2007
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