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A371471
a(n) = binomial(n^2,n) mod n^5.
0
0, 6, 84, 796, 5, 3792, 7, 27768, 22608, 56440, 11, 83772, 13, 168448, 61065, 471536, 17, 445320, 19, 994080, 2258235, 4188272, 23, 6083208, 156275, 743912, 13548492, 3588928, 29, 16444800, 31, 28887008, 13685133, 2841992, 42053795, 49421088, 37, 24763840, 9171162
OFFSET
1,2
REFERENCES
D. B. Fuks and Serge Tabachnikov, Mathematical Omnibus: Thirty Lectures on Classic Mathematics, American Mathematical Society, 2007. Lecture 2. Arithmetical Properties of Binomial Coefficients, pages 27-44.
FORMULA
If p is prime and p>=5, a(p) = p.
PROG
(PARI) a(n) = binomial(n^2, n)%n^5;
CROSSREFS
Sequence in context: A338405 A054605 A119576 * A098982 A229455 A212701
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 24 2024
STATUS
approved