A302192 Denominators of Hurwitz inverse of primes [2,3,5,7,...].

2, 4, 1, 8, 2, 4, 4, 16, 2, 4, 1, 8, 2, 2, 8, 32, 2, 4, 1, 8, 2, 4, 4, 16, 1, 4, 4, 8, 2, 8, 16, 64, 1, 4, 4, 8, 2, 4, 8, 16, 2, 4, 4, 8, 1, 4, 16, 32, 2, 4, 4, 8, 1, 4, 2, 16, 1, 4, 4, 8, 2, 16, 16, 128, 1, 4, 4, 8, 2, 2, 8, 16, 1, 4, 1, 8, 1, 8, 16, 32, 1, 4, 1, 8, 2

Offset

0,1

Comments

In the ring of Hurwitz sequences all members have offset 0.

Links

Table of n, a(n) for n=0..84.

Xing Gao and William F. Keigher, Interlacing of Hurwitz series, Communications in Algebra, 45:5 (2017), 2163-2185, DOI: 10.1080/00927872.2016.1226885.

Formula

E.g.f. for A302191/A302192 is 1 / Sum_{n >= 0} prime(n+1)*x^n/n!.

Example

1/2, -3/4, 1, -5/8, -7/2, 97/4, -403/4, 3795/16, 1683/2, -67403/4, 141662, -5744835/8, -710829/2, 124489961/2, -7187558877/8, ...

Maple

(See A302191 for Maple code)

Crossrefs

Cf. A302191, A302193.

Sequence in context: A103324 A221073 A181266 * A087060 A248112 A173122

Adjacent sequences: A302189 A302190 A302191 * A302193 A302194 A302195

Keyword

nonn,frac

Author

N. J. A. Sloane and William F. Keigher, Apr 12 2018

Status

approved