45 lines
1.2 KiB
JavaScript
45 lines
1.2 KiB
JavaScript
import { factory } from '../../utils/factory.js';
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var name = 'catalan';
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var dependencies = ['typed', 'addScalar', 'divideScalar', 'multiplyScalar', 'combinations', 'isNegative', 'isInteger'];
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export var createCatalan = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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addScalar,
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divideScalar,
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multiplyScalar,
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combinations,
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isNegative,
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isInteger
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} = _ref;
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/**
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* The Catalan Numbers enumerate combinatorial structures of many different types.
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* catalan only takes integer arguments.
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* The following condition must be enforced: n >= 0
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*
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* Syntax:
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*
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* math.catalan(n)
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*
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* Examples:
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*
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* math.catalan(3) // returns 5
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* math.catalan(8) // returns 1430
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*
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* See also:
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*
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* bellNumbers
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*
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* @param {Number | BigNumber} n nth Catalan number
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* @return {Number | BigNumber} Cn(n)
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*/
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return typed(name, {
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'number | BigNumber': function numberBigNumber(n) {
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if (!isInteger(n) || isNegative(n)) {
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throw new TypeError('Non-negative integer value expected in function catalan');
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}
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return divideScalar(combinations(multiplyScalar(n, 2), n), addScalar(n, 1));
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}
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});
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}); |