A255132 Number of divisors of odd Catalan numbers (A038003).
1, 1, 2, 8, 96, 2048, 3145728, 206158430208, 27670116110564327424, 498460498419343452338927647605129216, 24991100464315816765228594460089760794425300959309994174606999552, 336610107623104398583024455855523763248864803845734108839073897168302318415095310965480469919661369165797247714066432
Offset: 0
Keywords
Examples
A038003(4) = 9694845 which has 96 divisors.
Links
- Chai Wah Wu, Table of n, a(n) for n = 0..14
Programs
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Python
from operator import mul from functools import reduce from sympy import factorint A255132_list, c, s = [1, 1], {}, 3 for n in range(2,2**15): for p,e in factorint(4*n-2).items(): if p in c: c[p] += e else: c[p] = e for p,e in factorint(n+1).items(): if c[p] == e: del c[p] else: c[p] -= e if n == s: c2 = reduce(mul,[e+1 for e in c.values()]) A255132_list.append(c2) s = 2*s+1