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A239606 Decimal expansion of e^6 - (Pi^5 + Pi^4). 1

%I #12 Feb 13 2020 11:08:10

%S 1,7,6,7,3,4,5,1,2,3,2,1,0,9,2,0,5,5,3,7,8,1,1,2,4,7,5,6,1,8,7,5,8,7,

%T 1,6,0,5,0,5,6,3,6,8,7,9,0,3,6,9,0,0,6,8,8,5,2,4,8,9,4,5,3,3,3,0,4,3,

%U 5,5,2,2,7,7,6,2,9,2,7,3,5,1,8,9,4,2,9,5,4,5,5,3,3,1,3,3,6,9,2,4,4,6,2,7,2,0,6

%N Decimal expansion of e^6 - (Pi^5 + Pi^4).

%C Although more of a coincidence than a fundamental insight, the closeness of Pi^4+Pi^5 to e^6 might be worth to be recorded. The continued fraction of the difference is [0; 56582, 22, 1, 1, 2, 3, 3, 3, 1, 2, 4, 1, 1, 2, 168, 10, 1, 1, 3, 1, 12, 5, ...].

%e e^6-Pi^5-Pi^4 = 0.00001767345123210920553781124756187587160505636879036900688...

%o (PARI) exp(6)-Pi^5-Pi^4

%Y Cf. A000796, A001113.

%K nonn,cons

%O -4,2

%A _M. F. Hasler_, Mar 22 2014

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