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A117619
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a(n) = n^2 + 7.
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11
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7, 8, 11, 16, 23, 32, 43, 56, 71, 88, 107, 128, 151, 176, 203, 232, 263, 296, 331, 368, 407, 448, 491, 536, 583, 632, 683, 736, 791, 848, 907, 968, 1031, 1096, 1163, 1232, 1303, 1376, 1451, 1528, 1607, 1688, 1771, 1856, 1943, 2032, 2123, 2216, 2311, 2408
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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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Sum_{n>=0} 1/a(n) = (1 + sqrt(7)*Pi*coth(sqrt(7)*Pi))/14.
Sum_{n>=0} (-1)^n/a(n) = (1 + sqrt(7)*Pi*cosech(sqrt(7)*Pi))/14. (End)
Product_{n>=0} (1 - 1/a(n)) = sqrt(6/7)*sinh(sqrt(6)*Pi)/sinh(sqrt(7)*Pi).
Product_{n>=0} (1 + 1/a(n)) = 2*sqrt(2/7)*sinh(2*sqrt(2)*Pi)/sinh(sqrt(7)*Pi). (End)
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn,less,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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