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Search: id:A133767
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| A133767 |
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a(n) = (4*n+3)*(4*n+5)*(4*n+7). |
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+0
1
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| 105, 693, 2145, 4845, 9177, 15525, 24273, 35805, 50505, 68757, 90945, 117453, 148665, 184965, 226737, 274365, 328233, 388725, 456225, 531117, 613785, 704613, 803985, 912285, 1029897, 1157205, 1294593, 1442445, 1601145, 1771077, 1952625
(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*(35+91*x+x^2+x^3)/(1-x)^4. E.g.f: E(x) = (105+588*x+432*x^2+64*x^3)*exp(x) sum(4/((4*m+3)*(4*m+5)*(4*m+7)),m=0..infinity) = 5/6 - Pi/4.
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MAPLE
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seq((4*n+3)*(4*n+5)*(4*n+7), n=0..40);
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CROSSREFS
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Adjacent sequences: A133764 A133765 A133766 this_sequence A133768 A133769 A133770
Sequence in context: A134518 A143041 A078420 this_sequence A033593 A058844 A051015
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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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