fignumbers/dist/multidimensional-fignumbers/strategies/KDimensionalCenteredHyperOctahedronGenerator.js

A comprehensive TypeScript library for generating figurate numbers across multiple dimensions

import { binomialCoeff } from "../utils/helpersMultidimensionalFigNumbers.js";
const exteriorInteriorDoubleSummation = (k, n) => {
    let acc = 0n;
    for (let j = 1n; j <= n - 1n; j++) {
        for (let i = 0n; i <= k - 1n; i++) {
            acc += 2n ** (1n + i) * binomialCoeff(k, 1n + i) * binomialCoeff(j, i);
        }
    }
    return 2n * k + acc + 1n;
};
export class KDimensionalCenteredHyperOctahedronGenerator {
    *generate({ step = 1n, k = 5n }) {
        let delta = 1n;
        yield 1n;
        while (true) {
            yield exteriorInteriorDoubleSummation(k, delta);
            delta += step;
        }
    }
}
export class KDimensionalCenteredHyperOctahedronSpecificGenerator {
    constructor(k) {
        this.baseGenerator = new KDimensionalCenteredHyperOctahedronGenerator();
        this.k = k;
    }
    *generate({ step = 1n }) {
        return yield* this.baseGenerator.generate({ step, k: this.k });
    }
}
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