Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A099908
C(2n-1,n-1) mod n^4.
7
0, 3, 10, 35, 126, 462, 1716, 2339, 4627, 2378, 1332, 4238, 2198, 5148, 1260, 57635, 14740, 85026, 61732, 64410, 100509, 163716, 158172, 171918, 93876, 309780, 148969, 444220, 268280, 370712, 29792, 532771, 652200, 938386, 816466, 907874
OFFSET
1,2
COMMENTS
a(16843)=a(2124679)=1 meaning that 16843 and 2124679 are Wolstenholme primes A088164.
EXAMPLE
a(11) =352716 mod 1461 =1332.
MATHEMATICA
Table[Mod[Binomial[2n-1, n-1], n^4], {n, 40}] (* Harvey P. Dale, Dec 12 2021 *)
PROG
(Python)
from __future__ import division
A099908_list, b = [], 1
for n in range(1, 10001):
A099908_list.append(b % n**4)
b = b*2*(2*n+1)//(n+1) # Chai Wah Wu, Jan 26 2016
CROSSREFS
KEYWORD
nonn
AUTHOR
Henry Bottomley, Oct 29 2004
STATUS
approved