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Search: id:A081489
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| 1, 3, 8, 18, 35, 61, 98, 148, 213, 295, 396, 518, 663, 833, 1030, 1256, 1513, 1803, 2128, 2490, 2891, 3333, 3818, 4348, 4925, 5551, 6228, 6958, 7743, 8585, 9486, 10448, 11473, 12563, 13720, 14946, 16243, 17613, 19058, 20580, 22181, 23863, 25628
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OFFSET
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1,2
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COMMENT
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First difference is given by A002522 = n^2 + 1. Second difference is odd numbers given by A005408.
With offset 0, this is the binomial transform of (0,1,1,2,0,0,0,......) - Paul Barry (pbarry(AT)wit.ie), Jul 03 2003
Equals row sums of triangle A144337 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008]
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FORMULA
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a(n)=n(2n^2-3n+7)/6=C(n, 1)+C(n, 2)+2C(n, 3). - Paul Barry (pbarry(AT)wit.ie), Jul 03 2003
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MAPLE
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with(combinat):a:=n->sum(fibonacci(3, i), i=0..n): seq(a(n), n=0..42); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 20 2008
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MATHEMATICA
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s=0; lst={}; Do[s+=n^2+1; AppendTo[lst, s], {n, 0, 6!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 07 2008]
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CROSSREFS
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Cf. A002522, A005408, A081490, A081491, A081492.
A144337 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008]
Sequence in context: A119881 A075342 A083726 this_sequence A055278 A036628 A004035
Adjacent sequences: A081486 A081487 A081488 this_sequence A081490 A081491 A081492
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 25 2003
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 29 2003
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