login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A378942
Decimal expansion of (1/sqrt(Pi) + e*erfc(-1))/2.
0
2, 7, 8, 6, 5, 8, 4, 8, 3, 2, 1, 5, 5, 0, 1, 9, 8, 7, 6, 6, 2, 8, 9, 5, 2, 0, 2, 4, 8, 8, 7, 7, 9, 1, 2, 0, 0, 2, 6, 9, 1, 9, 2, 6, 5, 6, 7, 8, 2, 3, 3, 2, 6, 7, 1, 5, 1, 6, 2, 4, 0, 6, 0, 3, 2, 0, 9, 1, 4, 5, 1, 5, 3, 6, 6, 4, 1, 7, 2, 6, 7, 9, 2, 1, 1, 2, 2, 9, 9, 6, 2, 2, 6, 6, 5, 2, 6, 8, 4, 2
OFFSET
1,1
REFERENCES
Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 4.6, p. 262.
FORMULA
Equals (1 + e*sqrt(Pi)*(1 + erf(1)))/(2*sqrt(Pi)).
EXAMPLE
2.7865848321550198766289520248877912002691926567823...
MATHEMATICA
RealDigits[(1/Sqrt[Pi]+E Erfc[-1])/2, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons,new
AUTHOR
Stefano Spezia, Dec 11 2024
STATUS
approved