Alessandro Languasco

Home

Research

Divulgazione

Programs

Books

OEIS

Teaching2223

Links

Teaching2122

Teaching2021

Teaching1920

Alessandro Languasco


Papers: List Papers; (with Abstracts); Curriculum (in Italian): long version ; short version; in English: long version. Google Scholar profile. ResearchGate page. Orcid ID. Scopus Author ID. Web of Science Researcher ID, Mathematical Reviews page, Zentralblatt page, IRIS-CINECA bibliometric parameters (italian ASN) [2023]. English C1 badge.


Online Encyclopedia of Integer sequences (referring to my contributions)


The OEIS (The On-Line Encyclopedia of Integer Sequences), founded in 1964 by N.J.A. Sloane, contains a large number of data about integer sequences; for a detailed descriptions of its aims see their Welcome page. Some research contributions of mine were inserted in the encyclopedia. They are listed here:
Sequences containing a contribution by A. Languasco.
So far they are the sequences:
  1. A000466: a(n) = 4*n^2 - 1.
  2. A002375: From Goldbach conjecture: number of decompositions of 2n into an unordered sum of two odd primes.
  3. A064533: Decimal expansion of Landau-Ramanujan constant.
  4. A073010: Decimal expansion of Pi/sqrt(27).
  5. A135311: A greedy sequence of prime offsets.
  6. A161529: Decimal expansion of negative of constant M(3,1) arising in Mertens and Meissel-Mertens constants for sums over arithmetic progressions.
  7. A187549: Arises in a Diophantine problem with one prime, two squares of primes and s powers of two.
  8. A242013: Decimal expansion of the Euler-Kronecker constant (as named by P. Moree) for hypotenuse numbers.
  9. A242015: Decimal expansion of the Euler-Kronecker constant (as named by P. Moree) for non-hypotenuse numbers.
  10. A227158: Second-order term in the asymptotic expansion of B(x), the count of numbers up to x which are the sum of two squares.
  11. A309520: Primes p for which h1(p)/G(p) has a record value.
  12. A335576: Decimal expansion of Mertens constant C(5,2).
  13. A336798: Decimal expansion of Mertens constant C(5,3).
  14. A336802: Decimal expansion of the constant Π(5,1).
  15. A338462: Decimal expansion of the constant Π(5,4).
  16. A340127: Decimal expansion of Product_{p ≡ 4 (mod 5)} p^2/(p^2-1).
  17. A340628: Decimal expansion of Product_{p ≡ 4 (mod 5)} (p^2+1)/(p^2-1).
  18. A340629: Decimal expansion of Product_{p ≡ 1 (mod 5)} (p^2+1)/(p^2-1).
  19. A340711: Decimal expansion of Product_{p ≡ 3 (mod 5)} (p^2+1)/(p^2-1).
  20. A340839: Decimal expansion of Mertens' constant C(5,1).
  21. A340866: Decimal expansion of Mertens' constant C(5,4).
  22. A368644: Decimal expansion of the Mertens constant M(3,2) arising in the formula for the sum of reciprocals of primes p == 2 (mod 3).
  23. A368645: Decimal expansion of the Mertens constant M(4,1) arising in the formula for the sum of reciprocals of primes p == 1 (mod 4) (negated).
  24. A368646: Decimal expansion of the Mertens constant M(4,3) arising in the formula for the sum of reciprocals of primes p == 1 (mod 4).



Ultimo aggiornamento: 25.04.2024: 23:01:32

Go to the
Maths Department
Home Page

Home

Research

Divulgazione

Programs

Books

OEIS

Teaching2223

Links

Teaching2122

Teaching2021

Teaching1920

© Alessandro Languasco 2024