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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A367131 a(n) is the sum of the divisors of A000058(n) (Sylvester's sequence).

Original entry on oeis.org

3, 4, 8, 44, 1960, 3263444, 10697794573312, 113429214231136770625234912, 12864938683281101589385656009398714729057117020127552, 166504803622354833425112235578181474001920862856209391632362182416351065666575351284563698791731209336320
Offset: 0

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Author

Sean A. Irvine, Nov 05 2023

Keywords

Crossrefs

Programs

  • Mathematica
    a000058[0] = 2; a000058[n_Integer?NonNegative] := a000058[n] = a000058[n - 1]^2 - a000058[n - 1] + 1; a[n_Integer?NonNegative] := a[n] = DivisorSigma[1, a000058[n]]; Table[a[n], {n, 0, 9}] (* Robert P. P. McKone, Nov 05 2023 *)
  • Python
    from sympy import divisor_sigma
    memo = {0: 2}
    def a000058(n):
        if n not in memo:
            memo[n] = a000058(n - 1)**2 - a000058(n - 1) + 1
        return memo[n]
    a = lambda n: divisor_sigma(a000058(n))
    print([a(n) for n in range(10)])
    # Robert P. P. McKone, Nov 05 2023

Formula

a(n) = sigma(A000058(n)) = A000203(A000058(n)).
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