📅 10 August 2022
DOI: 10.54199/pjse.v2i2.133

ANALISIS FAKTOR YANG MEMPENGARUHI KEMISKINAN DI KABUPATEN BANYUMASBENTUK UMUM DAN REKURSIF BILANGAN CATALAN SERTA BILANGAN CATALAN MODULO PRIMA BERPANGKAT BILANGAN BULAT POSITIF

Perwira Journal of Science & Engineering (PJSE)
Universitas Perwira Purbalingga

📄 Abstract

A Catalan number is a positive number obtained by calculating the combined structure of a sequence. Catalan numbers have a general form and a recursive form that can be identified through Diagonal-Avoiding Paths and Balanced Parentheses. Catalan numbers have congruence on the modulo of integers. One of them is on the prime number modulo p. For every odd prime p, p does not divisible by  and the product of all numbers d by d between 0 and  and the Greatest Common Divisor of d and p is 1, will be congruent to -1 modulo . For every integer a with a between 0 and  , the Catalan numbers have different values ​​on modulo   and is congruent to  and so on until  modulo . For a between (p+1) to p , the catalan numbers  have different values ​​on modulo and  is congruent to   and so on until  modulo .
Keywords: Catalan numbers, combinations, congruences, prime numbers, modulo

🔖 Keywords

#Catalan numbers #combinations #congruences #prime numbers #modulo; Bilangan catalan; kombinasi; kongruensi; bilangan prima; modulo

ℹ️ Informasi Publikasi

Tanggal Publikasi
10 August 2022
Volume / Nomor / Tahun
Volume 2, Nomor 2, Tahun 2022

📝 HOW TO CITE

Irfan Azkamahendra; Sugandha, Agus; Sugandha, Agus, "ANALISIS FAKTOR YANG MEMPENGARUHI KEMISKINAN DI KABUPATEN BANYUMASBENTUK UMUM DAN REKURSIF BILANGAN CATALAN SERTA BILANGAN CATALAN MODULO PRIMA BERPANGKAT BILANGAN BULAT POSITIF," Perwira Journal of Science & Engineering (PJSE), vol. 2, no. 2, Aug. 2022.

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