A152040 Decimal expansion of an "almost" BBP type solution in base 20: a=Sum[(1/20^n)*(4/(10*n + 1) + (-2)/(10*n + 2) + (-3)/(10*n + 7) + 5/(10*n + 9)), {n, 0, Infinity}].

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

Offset

1,1

Comments

The importance of such numbers comes from quantum cosmology: multi-universe theory. The idea is that other universe exist with just slightly different fundamental constants. This Pi' is off by -8.720461412092817*10^-6.

Links

Table of n, a(n) for n=1..105.

Formula

a=Sum[(1/20^n)*(4/(10*n + 1) + (-2)/(10*n + 2) + (-3)/(10*n + 7) + 5/(10*n + 9)), {n, 0, Infinity}].

Mathematica

a = N[Sum[(1/20^n)*(4/(10*n + 1) + (-2)/(10*n + 2) + (-3)/(10*n + 7) + 5/(10*n + 9)), {n, 0, 200}], 200]; Table[Mod[Floor[a*10^n], 10], {n, 0, 200}]

Crossrefs

Sequence in context: A354617 A324242 A216543 * A013705 A358989 A216548

Adjacent sequences: A152037 A152038 A152039 * A152041 A152042 A152043

Keyword

nonn,cons,less

Author

Roger L. Bagula, Nov 21 2008

Status

approved