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Search: id:A052149
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| A052149 |
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Nonsquare rectangles on an n X n board. |
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+0
3
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| 0, 4, 22, 70, 170, 350, 644, 1092, 1740, 2640, 3850, 5434, 7462, 10010, 13160, 17000, 21624, 27132, 33630, 41230, 50050, 60214, 71852, 85100, 100100, 117000, 135954, 157122, 180670, 206770, 235600, 267344, 302192, 340340, 381990, 427350, 476634
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = (n*(n-1)*(n+1)*(3*n+2))/12 for n a positive integer
a(n) = A000537(n)-A000330(n) = 2*A000914(n+1).
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EXAMPLE
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a(10) = 10 * 9 * 11 * 32 / 12 = 2640
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MAPLE
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a:=n->sum(j^3-j^2, j=0..n): seq(a(n), n=1..37); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 08 2008
a:=n->sum((n-j)^3-(n-j)^2, j=1..n): seq(a(n), n=2..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 26 2008
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CROSSREFS
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Cf. A035291.
Sequence in context: A130015 A106846 A086863 this_sequence A062966 A078155 A096167
Adjacent sequences: A052146 A052147 A052148 this_sequence A052150 A052151 A052152
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KEYWORD
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nonn
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AUTHOR
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Ronald Arms (ron.arms(AT)stanfordalumni.org), Jan 23 2000
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