A334121 a(n) is the multiplicative inverse of A008514(n) modulo A008514(n+1).

1, 40, 271, 183, 1184, 102, 2861, 9102, 4446, 16837, 3483, 25332, 62253, 30739, 88410, 26394, 111803, 2177, 123512, 298353, 110585, 346624, 55398, 366215, 782616, 335806, 866645, 228189, 893798, 9628, 832307, 1873716, 643300, 1905211, 280161, 1793338, 3647187

Offset

0,2

Links

Table of n, a(n) for n=0..36.

Prog

(PARI)
f(n) = n^4 + (n+1)^4; \\ A008514
a(n) = lift(1/Mod(f(n), f(n+1)));
(Python)
import gmpy2
soc = [] # sum of 4d-centered cubes
a=0
b=1
for i in range(100):
    c = a**4 + b**4
    soc.append(c)
    a += 1
    b += 1
A334121 = []
for i in range(len(soc)-1):
    c = gmpy2.invert(soc[i], soc[i+1])
    A334121.append(int(c))
print(', '.join([str(x) for x in A334121]))

Crossrefs

Cf. A008514, A308215, A308217, A334137.

Sequence in context: A374240 A247406 A229588 * A117216 A035099 A065255

Adjacent sequences: A334118 A334119 A334120 * A334122 A334123 A334124

Keyword

nonn

Author

Daniel Hoyt, Apr 14 2020

Status

approved