cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A378144 a(n) = P(n) * 2^floor(log_2(prime(n+1))) = A002110(n) * A000079(A098388(n+1)).

Original entry on oeis.org

1, 4, 24, 120, 1680, 18480, 480480, 8168160, 155195040, 3569485920, 103515091680, 6417935684160, 237463620313920, 9736008432870720, 418648362613440960, 19676473042831725120, 1042853071270081431360, 61528331204934804450240, 7506456407002046142929280, 502932579269137091576261760
Offset: 0

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Author

Michael De Vlieger, Nov 17 2024

Keywords

Comments

Last term in row n of A378133.
a(n) is the largest product of a power of 2 and A002110(n) less than A002110(n+1).

Crossrefs

Programs

  • Mathematica
    {1}~Join~Table[Product[Prime[i], {i, n}]*2^Floor[Log2[Prime[n + 1]]], {n, 120}]
  • Python
    from sympy import primorial, prime
    def A378144(n): return primorial(n)<Chai Wah Wu, Nov 19 2024

Formula

a(n) = A002110(n)*A000079(A098388(n+1)).
Showing 1-1 of 1 results.