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A132124
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a(n) = n*(n+1)*(8*n + 1)/6.
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8
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0, 3, 17, 50, 110, 205, 343, 532, 780, 1095, 1485, 1958, 2522, 3185, 3955, 4840, 5848, 6987, 8265, 9690, 11270, 13013, 14927, 17020, 19300, 21775, 24453, 27342, 30450, 33785, 37355, 41168, 45232, 49555, 54145, 59010, 64158, 69597, 75335, 81380
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OFFSET
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0,2
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COMMENTS
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a(n) = A132121(n,2) for n > 1.
Convolution of the sequences (0,3,5,0,0,0,...) and (binomial(n+3, 3)), n >= 0. - Emeric Deutsch, Aug 30 2007
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LINKS
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Table of n, a(n) for n=0..39.
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FORMULA
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G.f.: x*(3+5x)/(1-x)^4. - Emeric Deutsch, Aug 30 2007
From Bruno Berselli, Nov 25 2010: (Start)
a(n) = n*A014105(n) - A016061(n-1), since A016061(n-1) = Sum_{k=0..n-1} A014105(k) (n > 0).
Also a(n) = A002412(n) + A006331(n) = A007585(n) + A002378(n). (End)
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MAPLE
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seq((1/6)*n*(n+1)*(8*n+1), n=0..40); # Emeric Deutsch, Aug 30 2007
with(finance):seq(add(cashflows([n*k, k^2, 0], 1)*4, k=0..n), n=0..40); # Zerinvary Lajos, Jul 16 2008
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CROSSREFS
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Cf. A000330, A033994, A132112, A050409.
Cf. A014105, A016061; A002412, A006331; A007585, A002378.
Sequence in context: A084069 A297514 A307862 * A011917 A018691 A225727
Adjacent sequences: A132121 A132122 A132123 * A132125 A132126 A132127
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller, Aug 12 2007
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STATUS
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approved
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