FormalConjectures/OEIS/175386.lean

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Explanation legend Lean4 Domain Explanation Language (L4DEL)

L4DEL explanations are a separate layer. They do not change the Lean source. Intuition is explanatory prose; numbered items are a reading path; sources link the wording back to evidence.

L4DEL
Lean4 Domain Explanation Language

Credit: The upstream authors and contributors retain credit for the project and mathematics. lean4-explainer only renders their pinned source and adds the separately disclosed explanation layer.

Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

7 declarations, 1 contain sorry, 0 declared as axioms

Denominators of $\sum_{k=1}^n \frac{1}{k 2^k}$

$a(n)$ is the denominator of the sum $$\sum_{i=1}^n \frac{1}{i} \binom{2n-i-1}{i-1}$$

References:

Imports (1)
  1. def OeisA175386.a $a(n)$ is the denominator of the sum $$\sum_{i=1}^n \frac{1}{i} \binom{2n-i-1}{i-1}$$ line 40 source

    Source documentation

    $a(n)$ is the denominator of the sum $$\sum_{i=1}^n \frac{1}{i} \binom{2n-i-1}{i-1}$$

    standard axioms: Classical.choice, Quot.sound, propext what this means

    Statement uses: Nat

    Proof uses: Rat.den, Finset.sum, Rat, Finset.Icc, OfNat.ofNat, Nat.choose, HSub.hSub, HMul.hMul, HAdd.hAdd, HDiv.hDiv

    14 instances, coercions and auxiliary constants left out.

    def a (n : ℕ) : ℕ :=
…
  2. lemma OeisA175386.a_1 line 52 source

    extra axioms: _private.0.OeisA175386.a_1._native.native_decide.ax_1 what this means

    Statement uses: Eq, Nat, OeisA175386.a, OfNat.ofNat

    Proof uses: of_decide_eq_true

    4 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

  3. lemma OeisA175386.a_2 line 55 source

    extra axioms: _private.0.OeisA175386.a_2._native.native_decide.ax_1 what this means

    Statement uses: Eq, Nat, OeisA175386.a, OfNat.ofNat

    Proof uses: of_decide_eq_true

    4 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

  4. lemma OeisA175386.a_3 line 58 source

    extra axioms: _private.0.OeisA175386.a_3._native.native_decide.ax_1 what this means

    Statement uses: Eq, Nat, OeisA175386.a, OfNat.ofNat

    Proof uses: of_decide_eq_true

    4 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

  5. lemma OeisA175386.a_4 line 61 source

    extra axioms: _private.0.OeisA175386.a_4._native.native_decide.ax_1 what this means

    Statement uses: Eq, Nat, OeisA175386.a, OfNat.ofNat

    Proof uses: of_decide_eq_true

    4 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

  6. lemma OeisA175386.a_5 line 64 source

    extra axioms: _private.0.OeisA175386.a_5._native.native_decide.ax_1 what this means

    Statement uses: Eq, Nat, OeisA175386.a, OfNat.ofNat

    Proof uses: of_decide_eq_true

    4 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.

  7. theorem OeisA175386.a_ne_one sorry line 75 source

    depends on sorry what this means

    Statement uses: Nat, LT.lt, OfNat.ofNat, Ne, OeisA175386.a

    Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous

    4 instances, coercions and auxiliary constants left out.

    Tactic trace: 1 steps

    Open to load the checked before-and-after goal states.