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A076420
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Decimal expansion of first solution of equation tan(x) = tanh(x).
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2
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3, 9, 2, 6, 6, 0, 2, 3, 1, 2, 0, 4, 7, 9, 1, 8, 7, 7, 8, 2, 3, 8, 5, 3, 3, 3, 4, 3, 6, 2, 7, 0, 2, 4, 8, 9, 5, 1, 6, 1, 1, 5, 2, 0, 8, 6, 9, 9, 5, 3, 3, 7, 3, 0, 7, 4, 2, 0, 6, 6, 8, 6, 5, 4, 2, 5, 5, 2, 7, 9, 7, 0, 8, 9, 0, 9, 6, 4, 6, 4, 2, 4, 7, 4, 1, 9, 4, 3, 3, 8, 0, 0, 1, 5, 6, 2, 1, 9, 4, 2, 2, 0, 5, 1, 3
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OFFSET
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1,1
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COMMENTS
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This is an equation related to a beam clamped at left and simply supported at right: tan(x) = tanh(x). The first three solutions are: 3.9266... (this sequence), 7.0686... (A076421) and 10.21... (A076422).
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LINKS
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EXAMPLE
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3.92660231204791877823853334362702489516115208699533...
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MATHEMATICA
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RealDigits[x /. FindRoot[Tan[x] == Tanh[x], {x, 4}, WorkingPrecision->120], 10, 105][[1]] (* Amiram Eldar, May 02 2023 *)
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PROG
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(PARI) solve(x = 3, 4, tan(x) - tanh(x)) \\ Amiram Eldar, May 02 2023
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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