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Search: id:A129624
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| A129624 |
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Decimal expansion of the constant x satisfying x! = Gamma[x+1] = 40. |
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1
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| 4, 3, 3, 1, 2, 9, 2, 4, 2, 4, 4, 9, 9, 7, 1, 3, 4, 6, 5, 8, 3, 8, 9, 4, 1, 4, 9, 1, 0, 4, 2, 3, 3, 8, 0, 8, 1, 1, 3, 8, 5, 6, 1, 5, 4, 6, 0, 2, 6, 7, 8
(list; cons; graph; listen)
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OFFSET
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1,1
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COMMENT
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From symmetrical groups associated with exceptional groups: in this case the exceptional group now called E7.5. I call the symmetrical group S4_q. Solutions were provided in my egroup by Bob Hanlon and Peter Pein.
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FORMULA
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a(n) = nth_Digits[4.3312924244997134658389414910423380811385615460267822972874964374249]
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MATHEMATICA
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(* Bob Hanlon : Solve is not intended for much beyond polynomial equations.Use FindRoot*) FindRoot[(4 + q)! - 40 == 0, {q, 0.5}] {q -> 0.3312924244997131`} FindRoot[Gamma[5 + q] - 40 == 0, {q, 0.5}] {q -> 0.3312924244997131`} (* Peter Pein : use the function FindRoot to get the zeros of transcendental functions :*) FindRoot[Gamma[5 + x] == 40, {x, 0, 1}, WorkingPrecision -> 50] {x -> 0.3312924244997134658389414910423380811385615460267822972874964374249` 49.99999999999999} FindRoot[(x + 4)! == 40, {x, 0, 1}, WorkingPrecision -> 50] {x -> 0.3312924244997134658389414910423380811385615460267822972874964374249` 49.99999999999999} (* digits from*) a = 0.3312924244997134658389414910423380811385615460267822972874964374249; Flatten[Join[{{4}}, Table[Mod[Floor[10^n*a], 10], {n, 1, 50}]]]
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CROSSREFS
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Sequence in context: A060373 A090280 A060997 this_sequence A019975 A073871 A120927
Adjacent sequences: A129621 A129622 A129623 this_sequence A129625 A129626 A129627
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KEYWORD
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nonn,cons
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), May 30 2007
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