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Search: id:A133766
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| A133766 |
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a(n) = (4*n+1)*(4*n+3)*(4*n+5). |
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+0
1
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| 15, 315, 1287, 3315, 6783, 12075, 19575, 29667, 42735, 59163, 79335, 103635, 132447, 166155, 205143, 249795, 300495, 357627, 421575, 492723, 571455, 658155, 753207, 856995, 969903, 1092315, 1224615, 1367187, 1520415, 1684683, 1860375
(list; graph; listen)
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OFFSET
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0,1
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FORMULA
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G.f.: G(x) = 3*(5+85*x+39*x^2-x^3)/(1-x)^4 E.g.f: E(x):=(15+300*x+336*x^2+64*x^3)*exp(x) sum(4/((4*m+1)*(4*m+3)*(4*m+5)),m=0..infinity) = (Pi-2)/4
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MAPLE
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seq((4*n+1)*(4*n+3)*(4*n+5), n=0..40);
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CROSSREFS
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Sequence in context: A051691 A135390 A105491 this_sequence A112489 A062757 A088913
Adjacent sequences: A133763 A133764 A133765 this_sequence A133767 A133768 A133769
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KEYWORD
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easy,nonn
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AUTHOR
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Miklos Kristof (kristmikl(AT)freemail.hu), Jan 02 2008
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