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A133767
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a(n) = (4*n+3)*(4*n+5)*(4*n+7).
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2
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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
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 3*(35 + 91*x + x^2 + x^3)/(1-x)^4.
E.g.f: (105 + 588*x + 432*x^2 + 64*x^3)*exp(x).
sum(4/a(m), 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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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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