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Search: id:A064999
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| A064999 |
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Partial sums of sequence (essentially A002378): 1,2,6,12,20,30,42,56,72,90,... |
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+0
4
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| 1, 3, 9, 21, 41, 71, 113, 169, 241, 331, 441, 573, 729, 911, 1121, 1361, 1633, 1939, 2281, 2661, 3081, 3543, 4049, 4601, 5201, 5851, 6553, 7309, 8121, 8991, 9921, 10913, 11969, 13091, 14281, 15541, 16873, 18279, 19761, 21321, 22961, 24683
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Equals triangle A144328 * [1, 2, 3,...]. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008]
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,1000
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FORMULA
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a(n)= A007290(n+2) +1= ( n^3 +3*n^2 +2*n +3 )/3.
a(0) = 1, a(n) = n*(n+1) + a(n-1) for n > 1 - Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Sep 26 2004
a(n) = (n^3 - n + 3)/3 - Artur Jasinski (grafix(AT)csl.pl), Feb 14 2007
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=a[n-1]+n^2-n od: seq(a[n], n=0..42); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2008
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MATHEMATICA
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Table[(x^3 - x + 3)/3, {x, 1, 100}] - Artur Jasinski (grafix(AT)csl.pl), Feb 14 2007
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PROGRAM
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(PARI) { for (n=0, 1000, if (n, a+=n*(n + 1), a=1); write("b064999.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 03 2009]
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CROSSREFS
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Cf. A002378, A007290.
A144328 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 18 2008]
Sequence in context: A007518 A029494 A059774 this_sequence A100135 A024173 A097119
Adjacent sequences: A064996 A064997 A064998 this_sequence A065000 A065001 A065002
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KEYWORD
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easy,nonn
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AUTHOR
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Klaus E. Kastberg (kastberg(AT)hotkey.net.au), Oct 31 2001
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EXTENSIONS
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Corrected and extended by Larry Reeves (larryr(AT)acm.org), Nov 12 2001
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