A178745 Decimal expansion of Sum_{k>=1} 1/2^Partition(k).

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

Offset

0,1

Links

Table of n, a(n) for n=0..103.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy], p. 836.

Example

0.9145815381782540637312161729442303697350532871815358384788470827...

Mathematica

s = 0; k = 1; While[k < 10000, s = N[s + 1/2^PartitionsP[k], 128]; k++ ]; s
RealDigits[NSum[1/2^PartitionsP[k], {k, \[Infinity]}, WorkingPrecision-> 200], 10, 120][[1]] (* Harvey P. Dale, Mar 31 2018 *)

Crossrefs

Cf. A000041.

Sequence in context: A335533 A179375 A089564 * A114893 A089101 A359809

Adjacent sequences: A178742 A178743 A178744 * A178746 A178747 A178748

Keyword

nonn,cons

Author

Robert G. Wilson v, Jun 08 2010

Extensions

Edited by N. J. A. Sloane, Jun 08 2010

Status

approved