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Search: id:A131895
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| 1, 9, 22, 40, 63, 91, 124, 162, 205, 253, 306, 364, 427, 495, 568, 646, 729, 817, 910, 1008, 1111, 1219, 1332, 1450, 1573, 1701, 1834, 1972, 2115, 2263, 2416, 2574, 2737, 2905, 3078, 3256, 3439, 3627, 3820, 4018, 4221, 4429, 4642, 4860, 5083, 5311, 5544
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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Binomial transform of (1, 8, 5, 0, 0, 0,...).
a(n)=5*n+a(n-1)-2 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]
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EXAMPLE
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a(2) = 22 = sum of row 2 terms of triangle A131894: (11 + 6 + 5).
a(2) = 22 = (1, 2, 1) dot (1, 8, 5) = (1 + 16 + 5).
For n=2, a(2)=5*2+1-2=9; n=3, a(3)=5*3+9-2=22; n=4, a(4)=5*4+22-2=40 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 09 2009]
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MATHEMATICA
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a[n_]:=Sum[5*i-7, {i, 1, n}]; [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 04 2008]
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CROSSREFS
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Cf. A131894.
Sequence in context: A154528 A130861 A049730 this_sequence A113519 A123833 A084023
Adjacent sequences: A131892 A131893 A131894 this_sequence A131896 A131897 A131898
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KEYWORD
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nonn,new
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 24 2007
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EXTENSIONS
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More terms and Mathematica program from Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 04 2008
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