A346044 Decimal expansion of Sum_{k>=0} 1/A138534(k).

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

Offset

1,2

Comments

This constant is irrational (Mingarelli, 2013).

Links

Table of n, a(n) for n=1..100.

Angelo B. Mingarelli, Abstract factorials, Notes on Number Theory and Discrete Mathematics, Vol. 19, No. 4 (2013), pp. 43-76 (see p. 62); arXiv preprint, arXiv:0705.4299 [math.NT], 2007-2012.

Example

1.59187412193012501124162959809216085908566842858464...

Mathematica

RealDigits[Sum[1/Product[Prime[k]^Floor[n/k], {k, 1, n}], {n, 0, 50}], 10, 100][[1]]

Crossrefs

Cf. A138534, A161360.

Sequence in context: A266553 A306980 A063921 * A334402 A227574 A214869

Adjacent sequences: A346041 A346042 A346043 * A346045 A346046 A346047

Keyword

nonn,cons

Author

Amiram Eldar, Jul 02 2021

Status

approved