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Search: id:A053991
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| A053991 |
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Number of distinct residues of generalized Catalan number 1/((n^2-1)k+1){{n^2 k} choose k} modulo {n^2} as k runs through natural numbers. |
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+0
1
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OFFSET
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2,1
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REFERENCES
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F. Luca, P. Stanica, "Products of factorials modulo p", manuscript 2001.
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LINKS
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P. Stanica, On powerfree p^q-Catalan numbers
P. Stanica, p^q Catalan numbers and squarefree binomial coefficients
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FORMULA
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For p prime, p != 5, a(p) = p+1.
{1/((n^2-1)k+1){{n^2 k} choose {k}} modulo {n^2} | k\in N}
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EXAMPLE
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a(2)=3 since there are 3 residues of 1/((2^2-1)n+1){{2^2 n} choose {n}} modulo {2^2}, namely {0,1,2}.
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CROSSREFS
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Sequence in context: A057757 A058838 A001177 this_sequence A033957 A031131 A105321
Adjacent sequences: A053988 A053989 A053990 this_sequence A053992 A053993 A053994
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KEYWORD
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nonn,more
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AUTHOR
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Pantelimon Stanica (pstanica(AT)mail.aum.edu), Apr 04 2000; corrected Feb 08 2001.
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