A367574 Decimal expansion of BesselI(0,2*sqrt(2)).
4, 2, 5, 2, 3, 5, 0, 8, 7, 9, 5, 0, 2, 6, 2, 3, 8, 2, 5, 2, 9, 3, 2, 3, 0, 8, 2, 4, 0, 8, 9, 5, 1, 0, 3, 0, 2, 1, 0, 7, 6, 8, 6, 0, 9, 8, 2, 2, 7, 0, 6, 7, 5, 3, 6, 4, 4, 7, 4, 3, 2, 1, 9, 9, 9, 6, 9, 3, 7, 7, 7, 8, 1, 1, 3, 0, 4, 2, 0, 6, 4, 4, 7, 8, 7, 0, 3, 8, 6, 7, 2, 8, 0, 1, 8, 9, 7, 2, 8, 1
Offset: 1
Examples
4.252350879502623825293230824089510302...
Programs
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Mathematica
RealDigits[BesselI[0, 2 Sqrt[2]], 10, 100][[1]]
Formula
Equals Sum_{k>=0} 2^k / k!^2.
Equals Sum_{i>=0} (i+1)/Product_{j=1..i} A000217(j). - Davide Rotondo, Feb 25 2025